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Finding the Fourth Proportional to 1,044.95, 1,442.06 and 579.20

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Solution

The fourth proportional to 1,044.95, 1,442.06 and 579.20 is: 799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.95 : 1,442.06 = 579.20 : x
  2. Step 2: Convert to fraction form
    1,044.95/1,442.06 = 579.20/x
  3. Step 3: Cross multiply
    1,044.95x = 1,442.06 × 579.20
  4. Step 4: Simplify right side
    1,044.95x = 835,241.15
  5. Step 5: Solve for x
    x = 835,241.15/1,044.95
  6. Step 6: Final answer
    x = 799.31

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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.