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Finding the Fourth Proportional to 1,016.54, 1,402.82 and 574.38

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Solution

The fourth proportional to 1,016.54, 1,402.82 and 574.38 is: 792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.54 : 1,402.82 = 574.38 : x
  2. Step 2: Convert to fraction form
    1,016.54/1,402.82 = 574.38/x
  3. Step 3: Cross multiply
    1,016.54x = 1,402.82 × 574.38
  4. Step 4: Simplify right side
    1,016.54x = 805,751.75
  5. Step 5: Solve for x
    x = 805,751.75/1,016.54
  6. Step 6: Final answer
    x = 792.64

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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.