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Finding the Fourth Proportional to 478.28, 658.84 and 448.04

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Solution

The fourth proportional to 478.28, 658.84 and 448.04 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 658.84 = 448.04 : x
  2. Step 2: Convert to fraction form
    478.28/658.84 = 448.04/x
  3. Step 3: Cross multiply
    478.28x = 658.84 × 448.04
  4. Step 4: Simplify right side
    478.28x = 295,186.67
  5. Step 5: Solve for x
    x = 295,186.67/478.28
  6. Step 6: Final answer
    x = 617.18

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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.