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Finding the Fourth Proportional to 1,442.43, 2,159.19 and 920.70

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Solution

The fourth proportional to 1,442.43, 2,159.19 and 920.70 is: 1,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.43 : 2,159.19 = 920.70 : x
  2. Step 2: Convert to fraction form
    1,442.43/2,159.19 = 920.70/x
  3. Step 3: Cross multiply
    1,442.43x = 2,159.19 × 920.70
  4. Step 4: Simplify right side
    1,442.43x = 1,987,966.23
  5. Step 5: Solve for x
    x = 1,987,966.23/1,442.43
  6. Step 6: Final answer
    x = 1,378.21

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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.