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Finding the Fourth Proportional to 671.60, 1,002.36 and 627.86

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Solution

The fourth proportional to 671.60, 1,002.36 and 627.86 is: 937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 1,002.36 = 627.86 : x
  2. Step 2: Convert to fraction form
    671.60/1,002.36 = 627.86/x
  3. Step 3: Cross multiply
    671.60x = 1,002.36 × 627.86
  4. Step 4: Simplify right side
    671.60x = 629,341.75
  5. Step 5: Solve for x
    x = 629,341.75/671.60
  6. Step 6: Final answer
    x = 937.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.