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Finding the Fourth Proportional to 1,285.34, 1,924.17 and 959.90

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Solution

The fourth proportional to 1,285.34, 1,924.17 and 959.90 is: 1,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.34 : 1,924.17 = 959.90 : x
  2. Step 2: Convert to fraction form
    1,285.34/1,924.17 = 959.90/x
  3. Step 3: Cross multiply
    1,285.34x = 1,924.17 × 959.90
  4. Step 4: Simplify right side
    1,285.34x = 1,847,010.78
  5. Step 5: Solve for x
    x = 1,847,010.78/1,285.34
  6. Step 6: Final answer
    x = 1,436.98

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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.