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Finding the Fourth Proportional to 952.52, 1,428.86 and 780.71

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Solution

The fourth proportional to 952.52, 1,428.86 and 780.71 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.52 : 1,428.86 = 780.71 : x
  2. Step 2: Convert to fraction form
    952.52/1,428.86 = 780.71/x
  3. Step 3: Cross multiply
    952.52x = 1,428.86 × 780.71
  4. Step 4: Simplify right side
    952.52x = 1,115,520.10
  5. Step 5: Solve for x
    x = 1,115,520.10/952.52
  6. Step 6: Final answer
    x = 1,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.