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Finding the Fourth Proportional to 1,219.52, 1,826.84 and 732.31

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Solution

The fourth proportional to 1,219.52, 1,826.84 and 732.31 is: 1,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.52 : 1,826.84 = 732.31 : x
  2. Step 2: Convert to fraction form
    1,219.52/1,826.84 = 732.31/x
  3. Step 3: Cross multiply
    1,219.52x = 1,826.84 × 732.31
  4. Step 4: Simplify right side
    1,219.52x = 1,337,810.46
  5. Step 5: Solve for x
    x = 1,337,810.46/1,219.52
  6. Step 6: Final answer
    x = 1,097.00

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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.