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Finding the Fourth Proportional to 461.65, 688.86 and 458.95

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Solution

The fourth proportional to 461.65, 688.86 and 458.95 is: 684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 688.86 = 458.95 : x
  2. Step 2: Convert to fraction form
    461.65/688.86 = 458.95/x
  3. Step 3: Cross multiply
    461.65x = 688.86 × 458.95
  4. Step 4: Simplify right side
    461.65x = 316,151.15
  5. Step 5: Solve for x
    x = 316,151.15/461.65
  6. Step 6: Final answer
    x = 684.83

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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.