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Finding the Fourth Proportional to 937.59, 1,284.50 and 902.55

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Solution

The fourth proportional to 937.59, 1,284.50 and 902.55 is: 1,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.59 : 1,284.50 = 902.55 : x
  2. Step 2: Convert to fraction form
    937.59/1,284.50 = 902.55/x
  3. Step 3: Cross multiply
    937.59x = 1,284.50 × 902.55
  4. Step 4: Simplify right side
    937.59x = 1,159,324.35
  5. Step 5: Solve for x
    x = 1,159,324.35/937.59
  6. Step 6: Final answer
    x = 1,236.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.