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Finding the Fourth Proportional to 658.89, 909.57 and 469.98

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Solution

The fourth proportional to 658.89, 909.57 and 469.98 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.89 : 909.57 = 469.98 : x
  2. Step 2: Convert to fraction form
    658.89/909.57 = 469.98/x
  3. Step 3: Cross multiply
    658.89x = 909.57 × 469.98
  4. Step 4: Simplify right side
    658.89x = 427,479.71
  5. Step 5: Solve for x
    x = 427,479.71/658.89
  6. Step 6: Final answer
    x = 648.79

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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.