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Finding the Fourth Proportional to 864.34, 1,295.40 and 517.87

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Solution

The fourth proportional to 864.34, 1,295.40 and 517.87 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.34 : 1,295.40 = 517.87 : x
  2. Step 2: Convert to fraction form
    864.34/1,295.40 = 517.87/x
  3. Step 3: Cross multiply
    864.34x = 1,295.40 × 517.87
  4. Step 4: Simplify right side
    864.34x = 670,853.98
  5. Step 5: Solve for x
    x = 670,853.98/864.34
  6. Step 6: Final answer
    x = 776.14

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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.