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Finding the Fourth Proportional to 675.66, 1,014.90 and 415.78

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Solution

The fourth proportional to 675.66, 1,014.90 and 415.78 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.66 : 1,014.90 = 415.78 : x
  2. Step 2: Convert to fraction form
    675.66/1,014.90 = 415.78/x
  3. Step 3: Cross multiply
    675.66x = 1,014.90 × 415.78
  4. Step 4: Simplify right side
    675.66x = 421,975.12
  5. Step 5: Solve for x
    x = 421,975.12/675.66
  6. Step 6: Final answer
    x = 624.54

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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.