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Finding the Fourth Proportional to 1,251.01, 1,876.02 and 429.09

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Solution

The fourth proportional to 1,251.01, 1,876.02 and 429.09 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.01 : 1,876.02 = 429.09 : x
  2. Step 2: Convert to fraction form
    1,251.01/1,876.02 = 429.09/x
  3. Step 3: Cross multiply
    1,251.01x = 1,876.02 × 429.09
  4. Step 4: Simplify right side
    1,251.01x = 804,981.42
  5. Step 5: Solve for x
    x = 804,981.42/1,251.01
  6. Step 6: Final answer
    x = 643.47

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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.