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Finding the Fourth Proportional to 1,159.38, 1,737.87 and 581.94

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Solution

The fourth proportional to 1,159.38, 1,737.87 and 581.94 is: 872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.38 : 1,737.87 = 581.94 : x
  2. Step 2: Convert to fraction form
    1,159.38/1,737.87 = 581.94/x
  3. Step 3: Cross multiply
    1,159.38x = 1,737.87 × 581.94
  4. Step 4: Simplify right side
    1,159.38x = 1,011,336.07
  5. Step 5: Solve for x
    x = 1,011,336.07/1,159.38
  6. Step 6: Final answer
    x = 872.31

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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.