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Finding the Fourth Proportional to 458.54, 630.78 and 402.27

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Solution

The fourth proportional to 458.54, 630.78 and 402.27 is: 553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.54 : 630.78 = 402.27 : x
  2. Step 2: Convert to fraction form
    458.54/630.78 = 402.27/x
  3. Step 3: Cross multiply
    458.54x = 630.78 × 402.27
  4. Step 4: Simplify right side
    458.54x = 253,743.87
  5. Step 5: Solve for x
    x = 253,743.87/458.54
  6. Step 6: Final answer
    x = 553.38

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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.