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Finding the Fourth Proportional to 1,052.80, 1,452.94 and 587.04

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Solution

The fourth proportional to 1,052.80, 1,452.94 and 587.04 is: 810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.80 : 1,452.94 = 587.04 : x
  2. Step 2: Convert to fraction form
    1,052.80/1,452.94 = 587.04/x
  3. Step 3: Cross multiply
    1,052.80x = 1,452.94 × 587.04
  4. Step 4: Simplify right side
    1,052.80x = 852,933.90
  5. Step 5: Solve for x
    x = 852,933.90/1,052.80
  6. Step 6: Final answer
    x = 810.16

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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.