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Finding the Fourth Proportional to 864.46, 1,193.07 and 515.17

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Solution

The fourth proportional to 864.46, 1,193.07 and 515.17 is: 711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,193.07 = 515.17 : x
  2. Step 2: Convert to fraction form
    864.46/1,193.07 = 515.17/x
  3. Step 3: Cross multiply
    864.46x = 1,193.07 × 515.17
  4. Step 4: Simplify right side
    864.46x = 614,633.87
  5. Step 5: Solve for x
    x = 614,633.87/864.46
  6. Step 6: Final answer
    x = 711.00

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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.