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Finding the Fourth Proportional to 1,016.52, 1,402.80 and 550.77

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Solution

The fourth proportional to 1,016.52, 1,402.80 and 550.77 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.52 : 1,402.80 = 550.77 : x
  2. Step 2: Convert to fraction form
    1,016.52/1,402.80 = 550.77/x
  3. Step 3: Cross multiply
    1,016.52x = 1,402.80 × 550.77
  4. Step 4: Simplify right side
    1,016.52x = 772,620.16
  5. Step 5: Solve for x
    x = 772,620.16/1,016.52
  6. Step 6: Final answer
    x = 760.06

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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.