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Finding the Fourth Proportional to 847.65, 1,169.84 and 516.16

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Solution

The fourth proportional to 847.65, 1,169.84 and 516.16 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.65 : 1,169.84 = 516.16 : x
  2. Step 2: Convert to fraction form
    847.65/1,169.84 = 516.16/x
  3. Step 3: Cross multiply
    847.65x = 1,169.84 × 516.16
  4. Step 4: Simplify right side
    847.65x = 603,824.61
  5. Step 5: Solve for x
    x = 603,824.61/847.65
  6. Step 6: Final answer
    x = 712.35

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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.