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Finding the Fourth Proportional to 961.30, 1,442.15 and 473.78

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Solution

The fourth proportional to 961.30, 1,442.15 and 473.78 is: 710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.30 : 1,442.15 = 473.78 : x
  2. Step 2: Convert to fraction form
    961.30/1,442.15 = 473.78/x
  3. Step 3: Cross multiply
    961.30x = 1,442.15 × 473.78
  4. Step 4: Simplify right side
    961.30x = 683,261.83
  5. Step 5: Solve for x
    x = 683,261.83/961.30
  6. Step 6: Final answer
    x = 710.77

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Double scale
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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.