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Finding the Fourth Proportional to 423.16, 634.10 and 392.78

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Solution

The fourth proportional to 423.16, 634.10 and 392.78 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 634.10 = 392.78 : x
  2. Step 2: Convert to fraction form
    423.16/634.10 = 392.78/x
  3. Step 3: Cross multiply
    423.16x = 634.10 × 392.78
  4. Step 4: Simplify right side
    423.16x = 249,061.80
  5. Step 5: Solve for x
    x = 249,061.80/423.16
  6. Step 6: Final answer
    x = 588.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.