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Finding the Fourth Proportional to 937.20, 1,294.20 and 627.60

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Solution

The fourth proportional to 937.20, 1,294.20 and 627.60 is: 866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.20 : 1,294.20 = 627.60 : x
  2. Step 2: Convert to fraction form
    937.20/1,294.20 = 627.60/x
  3. Step 3: Cross multiply
    937.20x = 1,294.20 × 627.60
  4. Step 4: Simplify right side
    937.20x = 812,239.92
  5. Step 5: Solve for x
    x = 812,239.92/937.20
  6. Step 6: Final answer
    x = 866.67

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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.