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Finding the Fourth Proportional to 864.43, 1,295.90 and 377.12

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Solution

The fourth proportional to 864.43, 1,295.90 and 377.12 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.43 : 1,295.90 = 377.12 : x
  2. Step 2: Convert to fraction form
    864.43/1,295.90 = 377.12/x
  3. Step 3: Cross multiply
    864.43x = 1,295.90 × 377.12
  4. Step 4: Simplify right side
    864.43x = 488,703.33
  5. Step 5: Solve for x
    x = 488,703.33/864.43
  6. Step 6: Final answer
    x = 565.35

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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.