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Finding the Fourth Proportional to 963.56, 1,445.48 and 415.78

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Solution

The fourth proportional to 963.56, 1,445.48 and 415.78 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.56 : 1,445.48 = 415.78 : x
  2. Step 2: Convert to fraction form
    963.56/1,445.48 = 415.78/x
  3. Step 3: Cross multiply
    963.56x = 1,445.48 × 415.78
  4. Step 4: Simplify right side
    963.56x = 601,001.67
  5. Step 5: Solve for x
    x = 601,001.67/963.56
  6. Step 6: Final answer
    x = 623.73

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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.