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Finding the Fourth Proportional to 526.57, 725.15 and 474.32

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Solution

The fourth proportional to 526.57, 725.15 and 474.32 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.57 : 725.15 = 474.32 : x
  2. Step 2: Convert to fraction form
    526.57/725.15 = 474.32/x
  3. Step 3: Cross multiply
    526.57x = 725.15 × 474.32
  4. Step 4: Simplify right side
    526.57x = 343,956.15
  5. Step 5: Solve for x
    x = 343,956.15/526.57
  6. Step 6: Final answer
    x = 653.20

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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.