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Finding the Fourth Proportional to 553.97, 829.70 and 265.61

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Solution

The fourth proportional to 553.97, 829.70 and 265.61 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.97 : 829.70 = 265.61 : x
  2. Step 2: Convert to fraction form
    553.97/829.70 = 265.61/x
  3. Step 3: Cross multiply
    553.97x = 829.70 × 265.61
  4. Step 4: Simplify right side
    553.97x = 220,376.62
  5. Step 5: Solve for x
    x = 220,376.62/553.97
  6. Step 6: Final answer
    x = 397.81

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1.5x scale

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.