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Finding the Fourth Proportional to 862.45, 1,191.27 and 750.20

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Solution

The fourth proportional to 862.45, 1,191.27 and 750.20 is: 1,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,191.27 = 750.20 : x
  2. Step 2: Convert to fraction form
    862.45/1,191.27 = 750.20/x
  3. Step 3: Cross multiply
    862.45x = 1,191.27 × 750.20
  4. Step 4: Simplify right side
    862.45x = 893,690.75
  5. Step 5: Solve for x
    x = 893,690.75/862.45
  6. Step 6: Final answer
    x = 1,036.22

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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.