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Finding the Fourth Proportional to 677.77, 1,016.92 and 312.73

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Solution

The fourth proportional to 677.77, 1,016.92 and 312.73 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.77 : 1,016.92 = 312.73 : x
  2. Step 2: Convert to fraction form
    677.77/1,016.92 = 312.73/x
  3. Step 3: Cross multiply
    677.77x = 1,016.92 × 312.73
  4. Step 4: Simplify right side
    677.77x = 318,019.24
  5. Step 5: Solve for x
    x = 318,019.24/677.77
  6. Step 6: Final answer
    x = 469.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.