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Finding the Fourth Proportional to 461.89, 688.78 and 392.23

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Solution

The fourth proportional to 461.89, 688.78 and 392.23 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 688.78 = 392.23 : x
  2. Step 2: Convert to fraction form
    461.89/688.78 = 392.23/x
  3. Step 3: Cross multiply
    461.89x = 688.78 × 392.23
  4. Step 4: Simplify right side
    461.89x = 270,160.18
  5. Step 5: Solve for x
    x = 270,160.18/461.89
  6. Step 6: Final answer
    x = 584.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.