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Finding the Fourth Proportional to 1,052.52, 1,454.52 and 865.74

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Solution

The fourth proportional to 1,052.52, 1,454.52 and 865.74 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.52 : 1,454.52 = 865.74 : x
  2. Step 2: Convert to fraction form
    1,052.52/1,454.52 = 865.74/x
  3. Step 3: Cross multiply
    1,052.52x = 1,454.52 × 865.74
  4. Step 4: Simplify right side
    1,052.52x = 1,259,236.14
  5. Step 5: Solve for x
    x = 1,259,236.14/1,052.52
  6. Step 6: Final answer
    x = 1,196.40

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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.