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Finding the Fourth Proportional to 576.24, 794.04 and 401.28

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Solution

The fourth proportional to 576.24, 794.04 and 401.28 is: 552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 794.04 = 401.28 : x
  2. Step 2: Convert to fraction form
    576.24/794.04 = 401.28/x
  3. Step 3: Cross multiply
    576.24x = 794.04 × 401.28
  4. Step 4: Simplify right side
    576.24x = 318,632.37
  5. Step 5: Solve for x
    x = 318,632.37/576.24
  6. Step 6: Final answer
    x = 552.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.