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Finding the Fourth Proportional to 457.55, 631.96 and 346.78

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Solution

The fourth proportional to 457.55, 631.96 and 346.78 is: 478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.55 : 631.96 = 346.78 : x
  2. Step 2: Convert to fraction form
    457.55/631.96 = 346.78/x
  3. Step 3: Cross multiply
    457.55x = 631.96 × 346.78
  4. Step 4: Simplify right side
    457.55x = 219,151.09
  5. Step 5: Solve for x
    x = 219,151.09/457.55
  6. Step 6: Final answer
    x = 478.97

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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.