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Finding the Fourth Proportional to 1,118.27, 1,669.87 and 913.24

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Solution

The fourth proportional to 1,118.27, 1,669.87 and 913.24 is: 1,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.27 : 1,669.87 = 913.24 : x
  2. Step 2: Convert to fraction form
    1,118.27/1,669.87 = 913.24/x
  3. Step 3: Cross multiply
    1,118.27x = 1,669.87 × 913.24
  4. Step 4: Simplify right side
    1,118.27x = 1,524,983.73
  5. Step 5: Solve for x
    x = 1,524,983.73/1,118.27
  6. Step 6: Final answer
    x = 1,363.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.