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Finding the Fourth Proportional to 963.70, 1,445.26 and 415.78

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Solution

The fourth proportional to 963.70, 1,445.26 and 415.78 is: 623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.70 : 1,445.26 = 415.78 : x
  2. Step 2: Convert to fraction form
    963.70/1,445.26 = 415.78/x
  3. Step 3: Cross multiply
    963.70x = 1,445.26 × 415.78
  4. Step 4: Simplify right side
    963.70x = 600,909.16
  5. Step 5: Solve for x
    x = 600,909.16/963.70
  6. Step 6: Final answer
    x = 623.54

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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.