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Finding the Fourth Proportional to 478.64, 658.68 and 465.68

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Solution

The fourth proportional to 478.64, 658.68 and 465.68 is: 640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.64 : 658.68 = 465.68 : x
  2. Step 2: Convert to fraction form
    478.64/658.68 = 465.68/x
  3. Step 3: Cross multiply
    478.64x = 658.68 × 465.68
  4. Step 4: Simplify right side
    478.64x = 306,734.10
  5. Step 5: Solve for x
    x = 306,734.10/478.64
  6. Step 6: Final answer
    x = 640.85

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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.