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Finding the Fourth Proportional to 1,565.47, 2,159.58 and 998.57

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Solution

The fourth proportional to 1,565.47, 2,159.58 and 998.57 is: 1,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.47 : 2,159.58 = 998.57 : x
  2. Step 2: Convert to fraction form
    1,565.47/2,159.58 = 998.57/x
  3. Step 3: Cross multiply
    1,565.47x = 2,159.58 × 998.57
  4. Step 4: Simplify right side
    1,565.47x = 2,156,476.01
  5. Step 5: Solve for x
    x = 2,156,476.01/1,565.47
  6. Step 6: Final answer
    x = 1,377.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.