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Finding the Fourth Proportional to 1,098.74, 1,648.11 and 971.17

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Solution

The fourth proportional to 1,098.74, 1,648.11 and 971.17 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.74 : 1,648.11 = 971.17 : x
  2. Step 2: Convert to fraction form
    1,098.74/1,648.11 = 971.17/x
  3. Step 3: Cross multiply
    1,098.74x = 1,648.11 × 971.17
  4. Step 4: Simplify right side
    1,098.74x = 1,600,594.99
  5. Step 5: Solve for x
    x = 1,600,594.99/1,098.74
  6. Step 6: Final answer
    x = 1,456.76

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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.