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Finding the Fourth Proportional to 461.93, 638.61 and 457.88

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Solution

The fourth proportional to 461.93, 638.61 and 457.88 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 638.61 = 457.88 : x
  2. Step 2: Convert to fraction form
    461.93/638.61 = 457.88/x
  3. Step 3: Cross multiply
    461.93x = 638.61 × 457.88
  4. Step 4: Simplify right side
    461.93x = 292,406.75
  5. Step 5: Solve for x
    x = 292,406.75/461.93
  6. Step 6: Final answer
    x = 633.01

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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.