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Finding the Fourth Proportional to 765.99, 1,147.73 and 440.55

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Solution

The fourth proportional to 765.99, 1,147.73 and 440.55 is: 660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.99 : 1,147.73 = 440.55 : x
  2. Step 2: Convert to fraction form
    765.99/1,147.73 = 440.55/x
  3. Step 3: Cross multiply
    765.99x = 1,147.73 × 440.55
  4. Step 4: Simplify right side
    765.99x = 505,630.25
  5. Step 5: Solve for x
    x = 505,630.25/765.99
  6. Step 6: Final answer
    x = 660.10

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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.