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Finding the Fourth Proportional to 765.27, 1,148.09 and 303.07

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Solution

The fourth proportional to 765.27, 1,148.09 and 303.07 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.27 : 1,148.09 = 303.07 : x
  2. Step 2: Convert to fraction form
    765.27/1,148.09 = 303.07/x
  3. Step 3: Cross multiply
    765.27x = 1,148.09 × 303.07
  4. Step 4: Simplify right side
    765.27x = 347,951.64
  5. Step 5: Solve for x
    x = 347,951.64/765.27
  6. Step 6: Final answer
    x = 454.68

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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.