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Finding the Fourth Proportional to 1,251.26, 1,877 and 429.20

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Solution

The fourth proportional to 1,251.26, 1,877 and 429.20 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.26 : 1,877 = 429.20 : x
  2. Step 2: Convert to fraction form
    1,251.26/1,877 = 429.20/x
  3. Step 3: Cross multiply
    1,251.26x = 1,877 × 429.20
  4. Step 4: Simplify right side
    1,251.26x = 805,608.40
  5. Step 5: Solve for x
    x = 805,608.40/1,251.26
  6. Step 6: Final answer
    x = 643.84

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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.