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Finding the Fourth Proportional to 1,248.87, 1,874.45 and 633.01

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Solution

The fourth proportional to 1,248.87, 1,874.45 and 633.01 is: 950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.87 : 1,874.45 = 633.01 : x
  2. Step 2: Convert to fraction form
    1,248.87/1,874.45 = 633.01/x
  3. Step 3: Cross multiply
    1,248.87x = 1,874.45 × 633.01
  4. Step 4: Simplify right side
    1,248.87x = 1,186,545.59
  5. Step 5: Solve for x
    x = 1,186,545.59/1,248.87
  6. Step 6: Final answer
    x = 950.10

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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.