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Finding the Fourth Proportional to 559.87, 772.58 and 311.19

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Solution

The fourth proportional to 559.87, 772.58 and 311.19 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.87 : 772.58 = 311.19 : x
  2. Step 2: Convert to fraction form
    559.87/772.58 = 311.19/x
  3. Step 3: Cross multiply
    559.87x = 772.58 × 311.19
  4. Step 4: Simplify right side
    559.87x = 240,419.17
  5. Step 5: Solve for x
    x = 240,419.17/559.87
  6. Step 6: Final answer
    x = 429.42

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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.