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Finding the Fourth Proportional to 1,220.51, 1,683.76 and 800.76

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Solution

The fourth proportional to 1,220.51, 1,683.76 and 800.76 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.51 : 1,683.76 = 800.76 : x
  2. Step 2: Convert to fraction form
    1,220.51/1,683.76 = 800.76/x
  3. Step 3: Cross multiply
    1,220.51x = 1,683.76 × 800.76
  4. Step 4: Simplify right side
    1,220.51x = 1,348,290.99
  5. Step 5: Solve for x
    x = 1,348,290.99/1,220.51
  6. Step 6: Final answer
    x = 1,104.70

Related Problems

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Half scale
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Double scale
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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.