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Finding the Fourth Proportional to 731.65, 1,095.82 and 513.25

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Solution

The fourth proportional to 731.65, 1,095.82 and 513.25 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.65 : 1,095.82 = 513.25 : x
  2. Step 2: Convert to fraction form
    731.65/1,095.82 = 513.25/x
  3. Step 3: Cross multiply
    731.65x = 1,095.82 × 513.25
  4. Step 4: Simplify right side
    731.65x = 562,426.42
  5. Step 5: Solve for x
    x = 562,426.42/731.65
  6. Step 6: Final answer
    x = 768.71

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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.