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Finding the Fourth Proportional to 417.53, 572.58 and 396.47

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Solution

The fourth proportional to 417.53, 572.58 and 396.47 is: 543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 572.58 = 396.47 : x
  2. Step 2: Convert to fraction form
    417.53/572.58 = 396.47/x
  3. Step 3: Cross multiply
    417.53x = 572.58 × 396.47
  4. Step 4: Simplify right side
    417.53x = 227,010.79
  5. Step 5: Solve for x
    x = 227,010.79/417.53
  6. Step 6: Final answer
    x = 543.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.