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Finding the Fourth Proportional to 1,159.64, 1,740.12 and 769.38

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Solution

The fourth proportional to 1,159.64, 1,740.12 and 769.38 is: 1,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.64 : 1,740.12 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,159.64/1,740.12 = 769.38/x
  3. Step 3: Cross multiply
    1,159.64x = 1,740.12 × 769.38
  4. Step 4: Simplify right side
    1,159.64x = 1,338,813.53
  5. Step 5: Solve for x
    x = 1,338,813.53/1,159.64
  6. Step 6: Final answer
    x = 1,154.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.