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Finding the Fourth Proportional to 525.48, 724.95 and 348.53

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Solution

The fourth proportional to 525.48, 724.95 and 348.53 is: 480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 724.95 = 348.53 : x
  2. Step 2: Convert to fraction form
    525.48/724.95 = 348.53/x
  3. Step 3: Cross multiply
    525.48x = 724.95 × 348.53
  4. Step 4: Simplify right side
    525.48x = 252,663.20
  5. Step 5: Solve for x
    x = 252,663.20/525.48
  6. Step 6: Final answer
    x = 480.82

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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.