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Finding the Fourth Proportional to 1,456.76, 2,010.07 and 867.49

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Solution

The fourth proportional to 1,456.76, 2,010.07 and 867.49 is: 1,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.76 : 2,010.07 = 867.49 : x
  2. Step 2: Convert to fraction form
    1,456.76/2,010.07 = 867.49/x
  3. Step 3: Cross multiply
    1,456.76x = 2,010.07 × 867.49
  4. Step 4: Simplify right side
    1,456.76x = 1,743,715.62
  5. Step 5: Solve for x
    x = 1,743,715.62/1,456.76
  6. Step 6: Final answer
    x = 1,196.98

Related Problems

Find fourth proportional to 728.38, 1,005.04 and 433.75
Half scale
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Double scale
Find fourth proportional to 1,457.76, 2,011.45 and 868.49
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.