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Finding the Fourth Proportional to 677.21, 936.77 and 566.49

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Solution

The fourth proportional to 677.21, 936.77 and 566.49 is: 783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.21 : 936.77 = 566.49 : x
  2. Step 2: Convert to fraction form
    677.21/936.77 = 566.49/x
  3. Step 3: Cross multiply
    677.21x = 936.77 × 566.49
  4. Step 4: Simplify right side
    677.21x = 530,671.52
  5. Step 5: Solve for x
    x = 530,671.52/677.21
  6. Step 6: Final answer
    x = 783.61

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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.