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Finding the Fourth Proportional to 1,059.90, 1,589.46 and 366.36

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Solution

The fourth proportional to 1,059.90, 1,589.46 and 366.36 is: 549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.90 : 1,589.46 = 366.36 : x
  2. Step 2: Convert to fraction form
    1,059.90/1,589.46 = 366.36/x
  3. Step 3: Cross multiply
    1,059.90x = 1,589.46 × 366.36
  4. Step 4: Simplify right side
    1,059.90x = 582,304.79
  5. Step 5: Solve for x
    x = 582,304.79/1,059.90
  6. Step 6: Final answer
    x = 549.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.