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Finding the Fourth Proportional to 1,052.65, 1,452.25 and 610.47

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Solution

The fourth proportional to 1,052.65, 1,452.25 and 610.47 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.65 : 1,452.25 = 610.47 : x
  2. Step 2: Convert to fraction form
    1,052.65/1,452.25 = 610.47/x
  3. Step 3: Cross multiply
    1,052.65x = 1,452.25 × 610.47
  4. Step 4: Simplify right side
    1,052.65x = 886,555.06
  5. Step 5: Solve for x
    x = 886,555.06/1,052.65
  6. Step 6: Final answer
    x = 842.21

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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.