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Finding the Fourth Proportional to 1,182.61, 1,772.25 and 872.02

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Solution

The fourth proportional to 1,182.61, 1,772.25 and 872.02 is: 1,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.61 : 1,772.25 = 872.02 : x
  2. Step 2: Convert to fraction form
    1,182.61/1,772.25 = 872.02/x
  3. Step 3: Cross multiply
    1,182.61x = 1,772.25 × 872.02
  4. Step 4: Simplify right side
    1,182.61x = 1,545,437.45
  5. Step 5: Solve for x
    x = 1,545,437.45/1,182.61
  6. Step 6: Final answer
    x = 1,306.80

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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.