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Finding the Fourth Proportional to 862.35, 1,190.46 and 531.06

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Solution

The fourth proportional to 862.35, 1,190.46 and 531.06 is: 733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.35 : 1,190.46 = 531.06 : x
  2. Step 2: Convert to fraction form
    862.35/1,190.46 = 531.06/x
  3. Step 3: Cross multiply
    862.35x = 1,190.46 × 531.06
  4. Step 4: Simplify right side
    862.35x = 632,203.03
  5. Step 5: Solve for x
    x = 632,203.03/862.35
  6. Step 6: Final answer
    x = 733.12

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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.