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Finding the Fourth Proportional to 862.50, 1,190.61 and 552.18

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Solution

The fourth proportional to 862.50, 1,190.61 and 552.18 is: 762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.50 : 1,190.61 = 552.18 : x
  2. Step 2: Convert to fraction form
    862.50/1,190.61 = 552.18/x
  3. Step 3: Cross multiply
    862.50x = 1,190.61 × 552.18
  4. Step 4: Simplify right side
    862.50x = 657,431.03
  5. Step 5: Solve for x
    x = 657,431.03/862.50
  6. Step 6: Final answer
    x = 762.24

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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.