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Finding the Fourth Proportional to 1,156.80, 1,735.89 and 426.89

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Solution

The fourth proportional to 1,156.80, 1,735.89 and 426.89 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.80 : 1,735.89 = 426.89 : x
  2. Step 2: Convert to fraction form
    1,156.80/1,735.89 = 426.89/x
  3. Step 3: Cross multiply
    1,156.80x = 1,735.89 × 426.89
  4. Step 4: Simplify right side
    1,156.80x = 741,039.22
  5. Step 5: Solve for x
    x = 741,039.22/1,156.80
  6. Step 6: Final answer
    x = 640.59

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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.