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Finding the Fourth Proportional to 658.41, 902.69 and 646.71

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Solution

The fourth proportional to 658.41, 902.69 and 646.71 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.41 : 902.69 = 646.71 : x
  2. Step 2: Convert to fraction form
    658.41/902.69 = 646.71/x
  3. Step 3: Cross multiply
    658.41x = 902.69 × 646.71
  4. Step 4: Simplify right side
    658.41x = 583,778.65
  5. Step 5: Solve for x
    x = 583,778.65/658.41
  6. Step 6: Final answer
    x = 886.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.