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Finding the Fourth Proportional to 876.60, 1,208.25 and 627.53

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Solution

The fourth proportional to 876.60, 1,208.25 and 627.53 is: 864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,208.25 = 627.53 : x
  2. Step 2: Convert to fraction form
    876.60/1,208.25 = 627.53/x
  3. Step 3: Cross multiply
    876.60x = 1,208.25 × 627.53
  4. Step 4: Simplify right side
    876.60x = 758,207.08
  5. Step 5: Solve for x
    x = 758,207.08/876.60
  6. Step 6: Final answer
    x = 864.94

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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.