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Finding the Fourth Proportional to 862.90, 1,191.06 and 513.79

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Solution

The fourth proportional to 862.90, 1,191.06 and 513.79 is: 709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.90 : 1,191.06 = 513.79 : x
  2. Step 2: Convert to fraction form
    862.90/1,191.06 = 513.79/x
  3. Step 3: Cross multiply
    862.90x = 1,191.06 × 513.79
  4. Step 4: Simplify right side
    862.90x = 611,954.72
  5. Step 5: Solve for x
    x = 611,954.72/862.90
  6. Step 6: Final answer
    x = 709.18

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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.