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Finding the Fourth Proportional to 1,432.13, 1,977.26 and 901.73

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Solution

The fourth proportional to 1,432.13, 1,977.26 and 901.73 is: 1,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.13 : 1,977.26 = 901.73 : x
  2. Step 2: Convert to fraction form
    1,432.13/1,977.26 = 901.73/x
  3. Step 3: Cross multiply
    1,432.13x = 1,977.26 × 901.73
  4. Step 4: Simplify right side
    1,432.13x = 1,782,960.17
  5. Step 5: Solve for x
    x = 1,782,960.17/1,432.13
  6. Step 6: Final answer
    x = 1,244.97

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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.