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Finding the Fourth Proportional to 865.38, 1,193.95 and 754.68

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Solution

The fourth proportional to 865.38, 1,193.95 and 754.68 is: 1,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,193.95 = 754.68 : x
  2. Step 2: Convert to fraction form
    865.38/1,193.95 = 754.68/x
  3. Step 3: Cross multiply
    865.38x = 1,193.95 × 754.68
  4. Step 4: Simplify right side
    865.38x = 901,050.19
  5. Step 5: Solve for x
    x = 901,050.19/865.38
  6. Step 6: Final answer
    x = 1,041.22

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1.5x scale

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.