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Finding the Fourth Proportional to 1,251.30, 1,875.56 and 634.13

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Solution

The fourth proportional to 1,251.30, 1,875.56 and 634.13 is: 950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.30 : 1,875.56 = 634.13 : x
  2. Step 2: Convert to fraction form
    1,251.30/1,875.56 = 634.13/x
  3. Step 3: Cross multiply
    1,251.30x = 1,875.56 × 634.13
  4. Step 4: Simplify right side
    1,251.30x = 1,189,343.35
  5. Step 5: Solve for x
    x = 1,189,343.35/1,251.30
  6. Step 6: Final answer
    x = 950.49

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1.5x scale

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.