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Finding the Fourth Proportional to 594.50, 891.93 and 209.75

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Solution

The fourth proportional to 594.50, 891.93 and 209.75 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 891.93 = 209.75 : x
  2. Step 2: Convert to fraction form
    594.50/891.93 = 209.75/x
  3. Step 3: Cross multiply
    594.50x = 891.93 × 209.75
  4. Step 4: Simplify right side
    594.50x = 187,082.32
  5. Step 5: Solve for x
    x = 187,082.32/594.50
  6. Step 6: Final answer
    x = 314.69

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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.