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Finding the Fourth Proportional to 1,244.72, 1,866.84 and 1,002.65

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Solution

The fourth proportional to 1,244.72, 1,866.84 and 1,002.65 is: 1,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.72 : 1,866.84 = 1,002.65 : x
  2. Step 2: Convert to fraction form
    1,244.72/1,866.84 = 1,002.65/x
  3. Step 3: Cross multiply
    1,244.72x = 1,866.84 × 1,002.65
  4. Step 4: Simplify right side
    1,244.72x = 1,871,787.13
  5. Step 5: Solve for x
    x = 1,871,787.13/1,244.72
  6. Step 6: Final answer
    x = 1,503.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.