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Finding the Fourth Proportional to 677.22, 1,015.17 and 348.17

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Solution

The fourth proportional to 677.22, 1,015.17 and 348.17 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.22 : 1,015.17 = 348.17 : x
  2. Step 2: Convert to fraction form
    677.22/1,015.17 = 348.17/x
  3. Step 3: Cross multiply
    677.22x = 1,015.17 × 348.17
  4. Step 4: Simplify right side
    677.22x = 353,446.66
  5. Step 5: Solve for x
    x = 353,446.66/677.22
  6. Step 6: Final answer
    x = 521.91

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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.