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Finding the Fourth Proportional to 553.06, 829.08 and 278.83

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Solution

The fourth proportional to 553.06, 829.08 and 278.83 is: 417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.06 : 829.08 = 278.83 : x
  2. Step 2: Convert to fraction form
    553.06/829.08 = 278.83/x
  3. Step 3: Cross multiply
    553.06x = 829.08 × 278.83
  4. Step 4: Simplify right side
    553.06x = 231,170.98
  5. Step 5: Solve for x
    x = 231,170.98/553.06
  6. Step 6: Final answer
    x = 417.99

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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.