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Finding the Fourth Proportional to 594.59, 891.79 and 209.75

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Solution

The fourth proportional to 594.59, 891.79 and 209.75 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.59 : 891.79 = 209.75 : x
  2. Step 2: Convert to fraction form
    594.59/891.79 = 209.75/x
  3. Step 3: Cross multiply
    594.59x = 891.79 × 209.75
  4. Step 4: Simplify right side
    594.59x = 187,052.95
  5. Step 5: Solve for x
    x = 187,052.95/594.59
  6. Step 6: Final answer
    x = 314.59

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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.