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Finding the Fourth Proportional to 1,016.61, 1,402.51 and 685.15

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Solution

The fourth proportional to 1,016.61, 1,402.51 and 685.15 is: 945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.61 : 1,402.51 = 685.15 : x
  2. Step 2: Convert to fraction form
    1,016.61/1,402.51 = 685.15/x
  3. Step 3: Cross multiply
    1,016.61x = 1,402.51 × 685.15
  4. Step 4: Simplify right side
    1,016.61x = 960,919.29
  5. Step 5: Solve for x
    x = 960,919.29/1,016.61
  6. Step 6: Final answer
    x = 945.22

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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.