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Finding the Fourth Proportional to 1,016.64, 1,402.96 and 550.89

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Solution

The fourth proportional to 1,016.64, 1,402.96 and 550.89 is: 760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,402.96 = 550.89 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,402.96 = 550.89/x
  3. Step 3: Cross multiply
    1,016.64x = 1,402.96 × 550.89
  4. Step 4: Simplify right side
    1,016.64x = 772,876.63
  5. Step 5: Solve for x
    x = 772,876.63/1,016.64
  6. Step 6: Final answer
    x = 760.23

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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.