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Finding the Fourth Proportional to 687.19, 947.69 and 516.17

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Solution

The fourth proportional to 687.19, 947.69 and 516.17 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.19 : 947.69 = 516.17 : x
  2. Step 2: Convert to fraction form
    687.19/947.69 = 516.17/x
  3. Step 3: Cross multiply
    687.19x = 947.69 × 516.17
  4. Step 4: Simplify right side
    687.19x = 489,169.15
  5. Step 5: Solve for x
    x = 489,169.15/687.19
  6. Step 6: Final answer
    x = 711.84

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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.