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Finding the Fourth Proportional to 1,052.41, 1,452.72 and 610.69

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Solution

The fourth proportional to 1,052.41, 1,452.72 and 610.69 is: 842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.41 : 1,452.72 = 610.69 : x
  2. Step 2: Convert to fraction form
    1,052.41/1,452.72 = 610.69/x
  3. Step 3: Cross multiply
    1,052.41x = 1,452.72 × 610.69
  4. Step 4: Simplify right side
    1,052.41x = 887,161.58
  5. Step 5: Solve for x
    x = 887,161.58/1,052.41
  6. Step 6: Final answer
    x = 842.98

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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.