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Finding the Fourth Proportional to 1,052.42, 1,452.35 and 580.33

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Solution

The fourth proportional to 1,052.42, 1,452.35 and 580.33 is: 800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.42 : 1,452.35 = 580.33 : x
  2. Step 2: Convert to fraction form
    1,052.42/1,452.35 = 580.33/x
  3. Step 3: Cross multiply
    1,052.42x = 1,452.35 × 580.33
  4. Step 4: Simplify right side
    1,052.42x = 842,841.19
  5. Step 5: Solve for x
    x = 842,841.19/1,052.42
  6. Step 6: Final answer
    x = 800.86

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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.