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Finding the Fourth Proportional to 1,025.34, 1,414.97 and 559.58

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Solution

The fourth proportional to 1,025.34, 1,414.97 and 559.58 is: 772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.34 : 1,414.97 = 559.58 : x
  2. Step 2: Convert to fraction form
    1,025.34/1,414.97 = 559.58/x
  3. Step 3: Cross multiply
    1,025.34x = 1,414.97 × 559.58
  4. Step 4: Simplify right side
    1,025.34x = 791,788.91
  5. Step 5: Solve for x
    x = 791,788.91/1,025.34
  6. Step 6: Final answer
    x = 772.22

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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.