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Finding the Fourth Proportional to 526.56, 724.80 and 478.56

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Solution

The fourth proportional to 526.56, 724.80 and 478.56 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 724.80 = 478.56 : x
  2. Step 2: Convert to fraction form
    526.56/724.80 = 478.56/x
  3. Step 3: Cross multiply
    526.56x = 724.80 × 478.56
  4. Step 4: Simplify right side
    526.56x = 346,860.29
  5. Step 5: Solve for x
    x = 346,860.29/526.56
  6. Step 6: Final answer
    x = 658.73

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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.