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Finding the Fourth Proportional to 762.48, 1,143.72 and 306.48

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Solution

The fourth proportional to 762.48, 1,143.72 and 306.48 is: 459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.48 : 1,143.72 = 306.48 : x
  2. Step 2: Convert to fraction form
    762.48/1,143.72 = 306.48/x
  3. Step 3: Cross multiply
    762.48x = 1,143.72 × 306.48
  4. Step 4: Simplify right side
    762.48x = 350,527.31
  5. Step 5: Solve for x
    x = 350,527.31/762.48
  6. Step 6: Final answer
    x = 459.72

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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.