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Finding the Fourth Proportional to 765.37, 1,147.20 and 302.80

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Solution

The fourth proportional to 765.37, 1,147.20 and 302.80 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.37 : 1,147.20 = 302.80 : x
  2. Step 2: Convert to fraction form
    765.37/1,147.20 = 302.80/x
  3. Step 3: Cross multiply
    765.37x = 1,147.20 × 302.80
  4. Step 4: Simplify right side
    765.37x = 347,372.58
  5. Step 5: Solve for x
    x = 347,372.58/765.37
  6. Step 6: Final answer
    x = 453.86

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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.