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Finding the Fourth Proportional to 478.35, 658.80 and 416.16

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Solution

The fourth proportional to 478.35, 658.80 and 416.16 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.35 : 658.80 = 416.16 : x
  2. Step 2: Convert to fraction form
    478.35/658.80 = 416.16/x
  3. Step 3: Cross multiply
    478.35x = 658.80 × 416.16
  4. Step 4: Simplify right side
    478.35x = 274,166.21
  5. Step 5: Solve for x
    x = 274,166.21/478.35
  6. Step 6: Final answer
    x = 573.15

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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.