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Finding the Fourth Proportional to 562.77, 776.66 and 326.75

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Solution

The fourth proportional to 562.77, 776.66 and 326.75 is: 450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.77 : 776.66 = 326.75 : x
  2. Step 2: Convert to fraction form
    562.77/776.66 = 326.75/x
  3. Step 3: Cross multiply
    562.77x = 776.66 × 326.75
  4. Step 4: Simplify right side
    562.77x = 253,768.14
  5. Step 5: Solve for x
    x = 253,768.14/562.77
  6. Step 6: Final answer
    x = 450.93

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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.