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Finding the Fourth Proportional to 862.47, 1,189.57 and 547.83

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Solution

The fourth proportional to 862.47, 1,189.57 and 547.83 is: 755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.47 : 1,189.57 = 547.83 : x
  2. Step 2: Convert to fraction form
    862.47/1,189.57 = 547.83/x
  3. Step 3: Cross multiply
    862.47x = 1,189.57 × 547.83
  4. Step 4: Simplify right side
    862.47x = 651,673.45
  5. Step 5: Solve for x
    x = 651,673.45/862.47
  6. Step 6: Final answer
    x = 755.59

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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.