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Finding the Fourth Proportional to 1,124.50, 1,551.80 and 627.10

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Solution

The fourth proportional to 1,124.50, 1,551.80 and 627.10 is: 865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.50 : 1,551.80 = 627.10 : x
  2. Step 2: Convert to fraction form
    1,124.50/1,551.80 = 627.10/x
  3. Step 3: Cross multiply
    1,124.50x = 1,551.80 × 627.10
  4. Step 4: Simplify right side
    1,124.50x = 973,133.78
  5. Step 5: Solve for x
    x = 973,133.78/1,124.50
  6. Step 6: Final answer
    x = 865.39

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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.