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Finding the Fourth Proportional to 765.65, 1,147.69 and 302.80

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Solution

The fourth proportional to 765.65, 1,147.69 and 302.80 is: 453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.65 : 1,147.69 = 302.80 : x
  2. Step 2: Convert to fraction form
    765.65/1,147.69 = 302.80/x
  3. Step 3: Cross multiply
    765.65x = 1,147.69 × 302.80
  4. Step 4: Simplify right side
    765.65x = 347,520.53
  5. Step 5: Solve for x
    x = 347,520.53/765.65
  6. Step 6: Final answer
    x = 453.89

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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.