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Finding the Fourth Proportional to 865.05, 1,295.64 and 431.25

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Solution

The fourth proportional to 865.05, 1,295.64 and 431.25 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,295.64 = 431.25 : x
  2. Step 2: Convert to fraction form
    865.05/1,295.64 = 431.25/x
  3. Step 3: Cross multiply
    865.05x = 1,295.64 × 431.25
  4. Step 4: Simplify right side
    865.05x = 558,744.75
  5. Step 5: Solve for x
    x = 558,744.75/865.05
  6. Step 6: Final answer
    x = 645.91

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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.