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Finding the Fourth Proportional to 1,016.61, 1,402.80 and 574.44

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Solution

The fourth proportional to 1,016.61, 1,402.80 and 574.44 is: 792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.61 : 1,402.80 = 574.44 : x
  2. Step 2: Convert to fraction form
    1,016.61/1,402.80 = 574.44/x
  3. Step 3: Cross multiply
    1,016.61x = 1,402.80 × 574.44
  4. Step 4: Simplify right side
    1,016.61x = 805,824.43
  5. Step 5: Solve for x
    x = 805,824.43/1,016.61
  6. Step 6: Final answer
    x = 792.66

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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.