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Finding the Fourth Proportional to 559.38, 771.77 and 323.30

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Solution

The fourth proportional to 559.38, 771.77 and 323.30 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.38 : 771.77 = 323.30 : x
  2. Step 2: Convert to fraction form
    559.38/771.77 = 323.30/x
  3. Step 3: Cross multiply
    559.38x = 771.77 × 323.30
  4. Step 4: Simplify right side
    559.38x = 249,513.24
  5. Step 5: Solve for x
    x = 249,513.24/559.38
  6. Step 6: Final answer
    x = 446.05

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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.