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Finding the Fourth Proportional to 864.63, 1,193.18 and 515.31

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Solution

The fourth proportional to 864.63, 1,193.18 and 515.31 is: 711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.63 : 1,193.18 = 515.31 : x
  2. Step 2: Convert to fraction form
    864.63/1,193.18 = 515.31/x
  3. Step 3: Cross multiply
    864.63x = 1,193.18 × 515.31
  4. Step 4: Simplify right side
    864.63x = 614,857.59
  5. Step 5: Solve for x
    x = 614,857.59/864.63
  6. Step 6: Final answer
    x = 711.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.