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Finding the Fourth Proportional to 1,503.27, 2,254.32 and 578.61

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Solution

The fourth proportional to 1,503.27, 2,254.32 and 578.61 is: 867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.27 : 2,254.32 = 578.61 : x
  2. Step 2: Convert to fraction form
    1,503.27/2,254.32 = 578.61/x
  3. Step 3: Cross multiply
    1,503.27x = 2,254.32 × 578.61
  4. Step 4: Simplify right side
    1,503.27x = 1,304,372.10
  5. Step 5: Solve for x
    x = 1,304,372.10/1,503.27
  6. Step 6: Final answer
    x = 867.69

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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.