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Finding the Fourth Proportional to 842.66, 1,261.52 and 627.20

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Solution

The fourth proportional to 842.66, 1,261.52 and 627.20 is: 938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.66 : 1,261.52 = 627.20 : x
  2. Step 2: Convert to fraction form
    842.66/1,261.52 = 627.20/x
  3. Step 3: Cross multiply
    842.66x = 1,261.52 × 627.20
  4. Step 4: Simplify right side
    842.66x = 791,225.34
  5. Step 5: Solve for x
    x = 791,225.34/842.66
  6. Step 6: Final answer
    x = 938.96

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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.