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Finding the Fourth Proportional to 765.07, 1,147.91 and 440.26

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Solution

The fourth proportional to 765.07, 1,147.91 and 440.26 is: 660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.07 : 1,147.91 = 440.26 : x
  2. Step 2: Convert to fraction form
    765.07/1,147.91 = 440.26/x
  3. Step 3: Cross multiply
    765.07x = 1,147.91 × 440.26
  4. Step 4: Simplify right side
    765.07x = 505,373.79
  5. Step 5: Solve for x
    x = 505,373.79/765.07
  6. Step 6: Final answer
    x = 660.56

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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.