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Finding the Fourth Proportional to 1,155.38, 1,592.51 and 920.25

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Solution

The fourth proportional to 1,155.38, 1,592.51 and 920.25 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.38 : 1,592.51 = 920.25 : x
  2. Step 2: Convert to fraction form
    1,155.38/1,592.51 = 920.25/x
  3. Step 3: Cross multiply
    1,155.38x = 1,592.51 × 920.25
  4. Step 4: Simplify right side
    1,155.38x = 1,465,502.73
  5. Step 5: Solve for x
    x = 1,465,502.73/1,155.38
  6. Step 6: Final answer
    x = 1,268.42

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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.