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Finding the Fourth Proportional to 1,049.34, 1,565.48 and 998.30

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Solution

The fourth proportional to 1,049.34, 1,565.48 and 998.30 is: 1,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.34 : 1,565.48 = 998.30 : x
  2. Step 2: Convert to fraction form
    1,049.34/1,565.48 = 998.30/x
  3. Step 3: Cross multiply
    1,049.34x = 1,565.48 × 998.30
  4. Step 4: Simplify right side
    1,049.34x = 1,562,818.68
  5. Step 5: Solve for x
    x = 1,562,818.68/1,049.34
  6. Step 6: Final answer
    x = 1,489.33

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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.