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Finding the Fourth Proportional to 1,059.40, 1,589.40 and 409.96

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Solution

The fourth proportional to 1,059.40, 1,589.40 and 409.96 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.40 : 1,589.40 = 409.96 : x
  2. Step 2: Convert to fraction form
    1,059.40/1,589.40 = 409.96/x
  3. Step 3: Cross multiply
    1,059.40x = 1,589.40 × 409.96
  4. Step 4: Simplify right side
    1,059.40x = 651,590.42
  5. Step 5: Solve for x
    x = 651,590.42/1,059.40
  6. Step 6: Final answer
    x = 615.06

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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.