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Finding the Fourth Proportional to 463.96, 638.76 and 402.58

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Solution

The fourth proportional to 463.96, 638.76 and 402.58 is: 554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.96 : 638.76 = 402.58 : x
  2. Step 2: Convert to fraction form
    463.96/638.76 = 402.58/x
  3. Step 3: Cross multiply
    463.96x = 638.76 × 402.58
  4. Step 4: Simplify right side
    463.96x = 257,152.00
  5. Step 5: Solve for x
    x = 257,152.00/463.96
  6. Step 6: Final answer
    x = 554.25

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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.