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Finding the Fourth Proportional to 1,067.57, 1,470.29 and 920.15

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Solution

The fourth proportional to 1,067.57, 1,470.29 and 920.15 is: 1,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.57 : 1,470.29 = 920.15 : x
  2. Step 2: Convert to fraction form
    1,067.57/1,470.29 = 920.15/x
  3. Step 3: Cross multiply
    1,067.57x = 1,470.29 × 920.15
  4. Step 4: Simplify right side
    1,067.57x = 1,352,875.39
  5. Step 5: Solve for x
    x = 1,352,875.39/1,067.57
  6. Step 6: Final answer
    x = 1,267.25

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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.