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Finding the Fourth Proportional to 1,016.38, 1,402.50 and 574.30

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Solution

The fourth proportional to 1,016.38, 1,402.50 and 574.30 is: 792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.38 : 1,402.50 = 574.30 : x
  2. Step 2: Convert to fraction form
    1,016.38/1,402.50 = 574.30/x
  3. Step 3: Cross multiply
    1,016.38x = 1,402.50 × 574.30
  4. Step 4: Simplify right side
    1,016.38x = 805,455.75
  5. Step 5: Solve for x
    x = 805,455.75/1,016.38
  6. Step 6: Final answer
    x = 792.48

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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.