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Finding the Fourth Proportional to 576.15, 798.42 and 565.21

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Solution

The fourth proportional to 576.15, 798.42 and 565.21 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.15 : 798.42 = 565.21 : x
  2. Step 2: Convert to fraction form
    576.15/798.42 = 565.21/x
  3. Step 3: Cross multiply
    576.15x = 798.42 × 565.21
  4. Step 4: Simplify right side
    576.15x = 451,278.09
  5. Step 5: Solve for x
    x = 451,278.09/576.15
  6. Step 6: Final answer
    x = 783.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.