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Finding the Fourth Proportional to 552.06, 824.63 and 404.51

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Solution

The fourth proportional to 552.06, 824.63 and 404.51 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 824.63 = 404.51 : x
  2. Step 2: Convert to fraction form
    552.06/824.63 = 404.51/x
  3. Step 3: Cross multiply
    552.06x = 824.63 × 404.51
  4. Step 4: Simplify right side
    552.06x = 333,564.94
  5. Step 5: Solve for x
    x = 333,564.94/552.06
  6. Step 6: Final answer
    x = 604.22

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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.