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Finding the Fourth Proportional to 1,231.61, 1,845.59 and 972.24

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Solution

The fourth proportional to 1,231.61, 1,845.59 and 972.24 is: 1,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.61 : 1,845.59 = 972.24 : x
  2. Step 2: Convert to fraction form
    1,231.61/1,845.59 = 972.24/x
  3. Step 3: Cross multiply
    1,231.61x = 1,845.59 × 972.24
  4. Step 4: Simplify right side
    1,231.61x = 1,794,344.64
  5. Step 5: Solve for x
    x = 1,794,344.64/1,231.61
  6. Step 6: Final answer
    x = 1,456.92

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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.