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Finding the Fourth Proportional to 1,159.73, 1,737.50 and 768.81

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Solution

The fourth proportional to 1,159.73, 1,737.50 and 768.81 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.73 : 1,737.50 = 768.81 : x
  2. Step 2: Convert to fraction form
    1,159.73/1,737.50 = 768.81/x
  3. Step 3: Cross multiply
    1,159.73x = 1,737.50 × 768.81
  4. Step 4: Simplify right side
    1,159.73x = 1,335,798.69
  5. Step 5: Solve for x
    x = 1,335,798.69/1,159.73
  6. Step 6: Final answer
    x = 1,151.82

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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.