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Finding the Fourth Proportional to 457.31, 681.63 and 430.68

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Solution

The fourth proportional to 457.31, 681.63 and 430.68 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 681.63 = 430.68 : x
  2. Step 2: Convert to fraction form
    457.31/681.63 = 430.68/x
  3. Step 3: Cross multiply
    457.31x = 681.63 × 430.68
  4. Step 4: Simplify right side
    457.31x = 293,565.35
  5. Step 5: Solve for x
    x = 293,565.35/457.31
  6. Step 6: Final answer
    x = 641.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.