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Finding the Fourth Proportional to 1,456.75, 2,010.35 and 867.17

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Solution

The fourth proportional to 1,456.75, 2,010.35 and 867.17 is: 1,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.75 : 2,010.35 = 867.17 : x
  2. Step 2: Convert to fraction form
    1,456.75/2,010.35 = 867.17/x
  3. Step 3: Cross multiply
    1,456.75x = 2,010.35 × 867.17
  4. Step 4: Simplify right side
    1,456.75x = 1,743,322.40
  5. Step 5: Solve for x
    x = 1,743,322.40/1,456.75
  6. Step 6: Final answer
    x = 1,196.72

Related Problems

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Double scale
Find fourth proportional to 1,457.75, 2,011.73 and 868.17
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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.