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Finding the Fourth Proportional to 658.68, 910.62 and 576.60

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Solution

The fourth proportional to 658.68, 910.62 and 576.60 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 910.62 = 576.60 : x
  2. Step 2: Convert to fraction form
    658.68/910.62 = 576.60/x
  3. Step 3: Cross multiply
    658.68x = 910.62 × 576.60
  4. Step 4: Simplify right side
    658.68x = 525,063.49
  5. Step 5: Solve for x
    x = 525,063.49/658.68
  6. Step 6: Final answer
    x = 797.15

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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.