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Finding the Fourth Proportional to 553.06, 833.49 and 498.29

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Solution

The fourth proportional to 553.06, 833.49 and 498.29 is: 750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.06 : 833.49 = 498.29 : x
  2. Step 2: Convert to fraction form
    553.06/833.49 = 498.29/x
  3. Step 3: Cross multiply
    553.06x = 833.49 × 498.29
  4. Step 4: Simplify right side
    553.06x = 415,315.56
  5. Step 5: Solve for x
    x = 415,315.56/553.06
  6. Step 6: Final answer
    x = 750.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.