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Finding the Fourth Proportional to 1,124.64, 1,551.87 and 627.21

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Solution

The fourth proportional to 1,124.64, 1,551.87 and 627.21 is: 865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.64 : 1,551.87 = 627.21 : x
  2. Step 2: Convert to fraction form
    1,124.64/1,551.87 = 627.21/x
  3. Step 3: Cross multiply
    1,124.64x = 1,551.87 × 627.21
  4. Step 4: Simplify right side
    1,124.64x = 973,348.38
  5. Step 5: Solve for x
    x = 973,348.38/1,124.64
  6. Step 6: Final answer
    x = 865.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.