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Finding the Fourth Proportional to 964.22, 1,445.12 and 415.78

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Solution

The fourth proportional to 964.22, 1,445.12 and 415.78 is: 623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,445.12 = 415.78 : x
  2. Step 2: Convert to fraction form
    964.22/1,445.12 = 415.78/x
  3. Step 3: Cross multiply
    964.22x = 1,445.12 × 415.78
  4. Step 4: Simplify right side
    964.22x = 600,851.99
  5. Step 5: Solve for x
    x = 600,851.99/964.22
  6. Step 6: Final answer
    x = 623.15

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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.