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Finding the Fourth Proportional to 576.16, 794.72 and 401.28

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Solution

The fourth proportional to 576.16, 794.72 and 401.28 is: 553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 794.72 = 401.28 : x
  2. Step 2: Convert to fraction form
    576.16/794.72 = 401.28/x
  3. Step 3: Cross multiply
    576.16x = 794.72 × 401.28
  4. Step 4: Simplify right side
    576.16x = 318,905.24
  5. Step 5: Solve for x
    x = 318,905.24/576.16
  6. Step 6: Final answer
    x = 553.50

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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.