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Finding the Fourth Proportional to 1,016.62, 1,402.93 and 550.87

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Solution

The fourth proportional to 1,016.62, 1,402.93 and 550.87 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.62 : 1,402.93 = 550.87 : x
  2. Step 2: Convert to fraction form
    1,016.62/1,402.93 = 550.87/x
  3. Step 3: Cross multiply
    1,016.62x = 1,402.93 × 550.87
  4. Step 4: Simplify right side
    1,016.62x = 772,832.05
  5. Step 5: Solve for x
    x = 772,832.05/1,016.62
  6. Step 6: Final answer
    x = 760.20

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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.