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Finding the Fourth Proportional to 524.24, 724.20 and 420.56

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Solution

The fourth proportional to 524.24, 724.20 and 420.56 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 724.20 = 420.56 : x
  2. Step 2: Convert to fraction form
    524.24/724.20 = 420.56/x
  3. Step 3: Cross multiply
    524.24x = 724.20 × 420.56
  4. Step 4: Simplify right side
    524.24x = 304,569.55
  5. Step 5: Solve for x
    x = 304,569.55/524.24
  6. Step 6: Final answer
    x = 580.97

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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.