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Finding the Fourth Proportional to 1,052.33, 1,452.12 and 580.15

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Solution

The fourth proportional to 1,052.33, 1,452.12 and 580.15 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.33 : 1,452.12 = 580.15 : x
  2. Step 2: Convert to fraction form
    1,052.33/1,452.12 = 580.15/x
  3. Step 3: Cross multiply
    1,052.33x = 1,452.12 × 580.15
  4. Step 4: Simplify right side
    1,052.33x = 842,440.16
  5. Step 5: Solve for x
    x = 842,440.16/1,052.33
  6. Step 6: Final answer
    x = 800.55

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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.