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Finding the Fourth Proportional to 1,065.35, 1,468.10 and 868.52

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Solution

The fourth proportional to 1,065.35, 1,468.10 and 868.52 is: 1,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.35 : 1,468.10 = 868.52 : x
  2. Step 2: Convert to fraction form
    1,065.35/1,468.10 = 868.52/x
  3. Step 3: Cross multiply
    1,065.35x = 1,468.10 × 868.52
  4. Step 4: Simplify right side
    1,065.35x = 1,275,062.53
  5. Step 5: Solve for x
    x = 1,275,062.53/1,065.35
  6. Step 6: Final answer
    x = 1,196.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.