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Finding the Fourth Proportional to 711.71, 982.02 and 525.36

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Solution

The fourth proportional to 711.71, 982.02 and 525.36 is: 724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.71 : 982.02 = 525.36 : x
  2. Step 2: Convert to fraction form
    711.71/982.02 = 525.36/x
  3. Step 3: Cross multiply
    711.71x = 982.02 × 525.36
  4. Step 4: Simplify right side
    711.71x = 515,910.43
  5. Step 5: Solve for x
    x = 515,910.43/711.71
  6. Step 6: Final answer
    x = 724.89

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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.