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Finding the Fourth Proportional to 677.88, 1,015.38 and 628.92

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Solution

The fourth proportional to 677.88, 1,015.38 and 628.92 is: 942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,015.38 = 628.92 : x
  2. Step 2: Convert to fraction form
    677.88/1,015.38 = 628.92/x
  3. Step 3: Cross multiply
    677.88x = 1,015.38 × 628.92
  4. Step 4: Simplify right side
    677.88x = 638,592.79
  5. Step 5: Solve for x
    x = 638,592.79/677.88
  6. Step 6: Final answer
    x = 942.04

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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.