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Finding the Fourth Proportional to 638.10, 880.28 and 402.14

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Solution

The fourth proportional to 638.10, 880.28 and 402.14 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.10 : 880.28 = 402.14 : x
  2. Step 2: Convert to fraction form
    638.10/880.28 = 402.14/x
  3. Step 3: Cross multiply
    638.10x = 880.28 × 402.14
  4. Step 4: Simplify right side
    638.10x = 353,995.80
  5. Step 5: Solve for x
    x = 353,995.80/638.10
  6. Step 6: Final answer
    x = 554.77

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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.