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Finding the Fourth Proportional to 461.43, 688.86 and 392.22

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Solution

The fourth proportional to 461.43, 688.86 and 392.22 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 688.86 = 392.22 : x
  2. Step 2: Convert to fraction form
    461.43/688.86 = 392.22/x
  3. Step 3: Cross multiply
    461.43x = 688.86 × 392.22
  4. Step 4: Simplify right side
    461.43x = 270,184.67
  5. Step 5: Solve for x
    x = 270,184.67/461.43
  6. Step 6: Final answer
    x = 585.54

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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.