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Finding the Fourth Proportional to 1,149.91, 1,725.29 and 564.85

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Solution

The fourth proportional to 1,149.91, 1,725.29 and 564.85 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.91 : 1,725.29 = 564.85 : x
  2. Step 2: Convert to fraction form
    1,149.91/1,725.29 = 564.85/x
  3. Step 3: Cross multiply
    1,149.91x = 1,725.29 × 564.85
  4. Step 4: Simplify right side
    1,149.91x = 974,529.39
  5. Step 5: Solve for x
    x = 974,529.39/1,149.91
  6. Step 6: Final answer
    x = 847.48

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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.