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Finding the Fourth Proportional to 1,098.24, 1,645.54 and 959.73

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Solution

The fourth proportional to 1,098.24, 1,645.54 and 959.73 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.24 : 1,645.54 = 959.73 : x
  2. Step 2: Convert to fraction form
    1,098.24/1,645.54 = 959.73/x
  3. Step 3: Cross multiply
    1,098.24x = 1,645.54 × 959.73
  4. Step 4: Simplify right side
    1,098.24x = 1,579,271.70
  5. Step 5: Solve for x
    x = 1,579,271.70/1,098.24
  6. Step 6: Final answer
    x = 1,438.00

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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.