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Finding the Fourth Proportional to 552.04, 824.09 and 491.56

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Solution

The fourth proportional to 552.04, 824.09 and 491.56 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.04 : 824.09 = 491.56 : x
  2. Step 2: Convert to fraction form
    552.04/824.09 = 491.56/x
  3. Step 3: Cross multiply
    552.04x = 824.09 × 491.56
  4. Step 4: Simplify right side
    552.04x = 405,089.68
  5. Step 5: Solve for x
    x = 405,089.68/552.04
  6. Step 6: Final answer
    x = 733.80

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1.5x scale

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.