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Finding the Fourth Proportional to 675.78, 1,015.07 and 415.91

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Solution

The fourth proportional to 675.78, 1,015.07 and 415.91 is: 624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 1,015.07 = 415.91 : x
  2. Step 2: Convert to fraction form
    675.78/1,015.07 = 415.91/x
  3. Step 3: Cross multiply
    675.78x = 1,015.07 × 415.91
  4. Step 4: Simplify right side
    675.78x = 422,170.61
  5. Step 5: Solve for x
    x = 422,170.61/675.78
  6. Step 6: Final answer
    x = 624.72

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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.