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Finding the Fourth Proportional to 552.65, 824.69 and 491.29

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Solution

The fourth proportional to 552.65, 824.69 and 491.29 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.65 : 824.69 = 491.29 : x
  2. Step 2: Convert to fraction form
    552.65/824.69 = 491.29/x
  3. Step 3: Cross multiply
    552.65x = 824.69 × 491.29
  4. Step 4: Simplify right side
    552.65x = 405,161.12
  5. Step 5: Solve for x
    x = 405,161.12/552.65
  6. Step 6: Final answer
    x = 733.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.