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Finding the Fourth Proportional to 1,052.31, 1,452.14 and 586.47

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Solution

The fourth proportional to 1,052.31, 1,452.14 and 586.47 is: 809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.31 : 1,452.14 = 586.47 : x
  2. Step 2: Convert to fraction form
    1,052.31/1,452.14 = 586.47/x
  3. Step 3: Cross multiply
    1,052.31x = 1,452.14 × 586.47
  4. Step 4: Simplify right side
    1,052.31x = 851,633.61
  5. Step 5: Solve for x
    x = 851,633.61/1,052.31
  6. Step 6: Final answer
    x = 809.30

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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.