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Finding the Fourth Proportional to 994.57, 1,373.43 and 847.15

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Solution

The fourth proportional to 994.57, 1,373.43 and 847.15 is: 1,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.57 : 1,373.43 = 847.15 : x
  2. Step 2: Convert to fraction form
    994.57/1,373.43 = 847.15/x
  3. Step 3: Cross multiply
    994.57x = 1,373.43 × 847.15
  4. Step 4: Simplify right side
    994.57x = 1,163,501.22
  5. Step 5: Solve for x
    x = 1,163,501.22/994.57
  6. Step 6: Final answer
    x = 1,169.85

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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.