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Finding the Fourth Proportional to 1,113.63, 1,661.04 and 1,049.39

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Solution

The fourth proportional to 1,113.63, 1,661.04 and 1,049.39 is: 1,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.63 : 1,661.04 = 1,049.39 : x
  2. Step 2: Convert to fraction form
    1,113.63/1,661.04 = 1,049.39/x
  3. Step 3: Cross multiply
    1,113.63x = 1,661.04 × 1,049.39
  4. Step 4: Simplify right side
    1,113.63x = 1,743,082.92
  5. Step 5: Solve for x
    x = 1,743,082.92/1,113.63
  6. Step 6: Final answer
    x = 1,565.23

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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.