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Finding the Fourth Proportional to 713.29, 982.88 and 526.49

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Solution

The fourth proportional to 713.29, 982.88 and 526.49 is: 725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.29 : 982.88 = 526.49 : x
  2. Step 2: Convert to fraction form
    713.29/982.88 = 526.49/x
  3. Step 3: Cross multiply
    713.29x = 982.88 × 526.49
  4. Step 4: Simplify right side
    713.29x = 517,468.94
  5. Step 5: Solve for x
    x = 517,468.94/713.29
  6. Step 6: Final answer
    x = 725.47

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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.