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Finding the Fourth Proportional to 694.92, 959.02 and 415.08

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Solution

The fourth proportional to 694.92, 959.02 and 415.08 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 959.02 = 415.08 : x
  2. Step 2: Convert to fraction form
    694.92/959.02 = 415.08/x
  3. Step 3: Cross multiply
    694.92x = 959.02 × 415.08
  4. Step 4: Simplify right side
    694.92x = 398,070.02
  5. Step 5: Solve for x
    x = 398,070.02/694.92
  6. Step 6: Final answer
    x = 572.83

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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.