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Finding the Fourth Proportional to 1,154.53, 1,593.39 and 782.33

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Solution

The fourth proportional to 1,154.53, 1,593.39 and 782.33 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.53 : 1,593.39 = 782.33 : x
  2. Step 2: Convert to fraction form
    1,154.53/1,593.39 = 782.33/x
  3. Step 3: Cross multiply
    1,154.53x = 1,593.39 × 782.33
  4. Step 4: Simplify right side
    1,154.53x = 1,246,552.89
  5. Step 5: Solve for x
    x = 1,246,552.89/1,154.53
  6. Step 6: Final answer
    x = 1,079.71

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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.