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Finding the Fourth Proportional to 765.24, 1,147.08 and 302.83

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Solution

The fourth proportional to 765.24, 1,147.08 and 302.83 is: 453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.24 : 1,147.08 = 302.83 : x
  2. Step 2: Convert to fraction form
    765.24/1,147.08 = 302.83/x
  3. Step 3: Cross multiply
    765.24x = 1,147.08 × 302.83
  4. Step 4: Simplify right side
    765.24x = 347,370.24
  5. Step 5: Solve for x
    x = 347,370.24/765.24
  6. Step 6: Final answer
    x = 453.94

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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.