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Finding the Fourth Proportional to 562.93, 776.89 and 326.96

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Solution

The fourth proportional to 562.93, 776.89 and 326.96 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 776.89 = 326.96 : x
  2. Step 2: Convert to fraction form
    562.93/776.89 = 326.96/x
  3. Step 3: Cross multiply
    562.93x = 776.89 × 326.96
  4. Step 4: Simplify right side
    562.93x = 254,011.95
  5. Step 5: Solve for x
    x = 254,011.95/562.93
  6. Step 6: Final answer
    x = 451.23

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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.