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Finding the Fourth Proportional to 463.47, 637.70 and 401.10

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Solution

The fourth proportional to 463.47, 637.70 and 401.10 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.47 : 637.70 = 401.10 : x
  2. Step 2: Convert to fraction form
    463.47/637.70 = 401.10/x
  3. Step 3: Cross multiply
    463.47x = 637.70 × 401.10
  4. Step 4: Simplify right side
    463.47x = 255,779.46
  5. Step 5: Solve for x
    x = 255,779.46/463.47
  6. Step 6: Final answer
    x = 551.88

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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.