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Finding the Fourth Proportional to 724.77, 1,006.94 and 716.13

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Solution

The fourth proportional to 724.77, 1,006.94 and 716.13 is: 994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.77 : 1,006.94 = 716.13 : x
  2. Step 2: Convert to fraction form
    724.77/1,006.94 = 716.13/x
  3. Step 3: Cross multiply
    724.77x = 1,006.94 × 716.13
  4. Step 4: Simplify right side
    724.77x = 721,101.73
  5. Step 5: Solve for x
    x = 721,101.73/724.77
  6. Step 6: Final answer
    x = 994.94

Related Problems

Find fourth proportional to 362.39, 503.47 and 358.07
Half scale
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Double scale
Find fourth proportional to 725.77, 1,008.33 and 717.13
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.