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Finding the Fourth Proportional to 635.30, 874.77 and 478.16

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Solution

The fourth proportional to 635.30, 874.77 and 478.16 is: 658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.30 : 874.77 = 478.16 : x
  2. Step 2: Convert to fraction form
    635.30/874.77 = 478.16/x
  3. Step 3: Cross multiply
    635.30x = 874.77 × 478.16
  4. Step 4: Simplify right side
    635.30x = 418,280.02
  5. Step 5: Solve for x
    x = 418,280.02/635.30
  6. Step 6: Final answer
    x = 658.40

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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.