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Finding the Fourth Proportional to 658.61, 910.08 and 626.58

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Solution

The fourth proportional to 658.61, 910.08 and 626.58 is: 865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.61 : 910.08 = 626.58 : x
  2. Step 2: Convert to fraction form
    658.61/910.08 = 626.58/x
  3. Step 3: Cross multiply
    658.61x = 910.08 × 626.58
  4. Step 4: Simplify right side
    658.61x = 570,236.86
  5. Step 5: Solve for x
    x = 570,236.86/658.61
  6. Step 6: Final answer
    x = 865.82

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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.