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Finding the Fourth Proportional to 928.74, 1,392.42 and 654.68

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Solution

The fourth proportional to 928.74, 1,392.42 and 654.68 is: 981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.74 : 1,392.42 = 654.68 : x
  2. Step 2: Convert to fraction form
    928.74/1,392.42 = 654.68/x
  3. Step 3: Cross multiply
    928.74x = 1,392.42 × 654.68
  4. Step 4: Simplify right side
    928.74x = 911,589.53
  5. Step 5: Solve for x
    x = 911,589.53/928.74
  6. Step 6: Final answer
    x = 981.53

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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.