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Finding the Fourth Proportional to 576.95, 796.30 and 402.19

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Solution

The fourth proportional to 576.95, 796.30 and 402.19 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.95 : 796.30 = 402.19 : x
  2. Step 2: Convert to fraction form
    576.95/796.30 = 402.19/x
  3. Step 3: Cross multiply
    576.95x = 796.30 × 402.19
  4. Step 4: Simplify right side
    576.95x = 320,260.90
  5. Step 5: Solve for x
    x = 320,260.90/576.95
  6. Step 6: Final answer
    x = 555.10

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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.