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Finding the Fourth Proportional to 961.13, 1,442.27 and 522.38

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Solution

The fourth proportional to 961.13, 1,442.27 and 522.38 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.13 : 1,442.27 = 522.38 : x
  2. Step 2: Convert to fraction form
    961.13/1,442.27 = 522.38/x
  3. Step 3: Cross multiply
    961.13x = 1,442.27 × 522.38
  4. Step 4: Simplify right side
    961.13x = 753,417.91
  5. Step 5: Solve for x
    x = 753,417.91/961.13
  6. Step 6: Final answer
    x = 783.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.