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Finding the Fourth Proportional to 577.12, 863.85 and 467.77

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Solution

The fourth proportional to 577.12, 863.85 and 467.77 is: 700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 863.85 = 467.77 : x
  2. Step 2: Convert to fraction form
    577.12/863.85 = 467.77/x
  3. Step 3: Cross multiply
    577.12x = 863.85 × 467.77
  4. Step 4: Simplify right side
    577.12x = 404,080.95
  5. Step 5: Solve for x
    x = 404,080.95/577.12
  6. Step 6: Final answer
    x = 700.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.