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Finding the Fourth Proportional to 594.90, 891.82 and 320.67

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Solution

The fourth proportional to 594.90, 891.82 and 320.67 is: 480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.90 : 891.82 = 320.67 : x
  2. Step 2: Convert to fraction form
    594.90/891.82 = 320.67/x
  3. Step 3: Cross multiply
    594.90x = 891.82 × 320.67
  4. Step 4: Simplify right side
    594.90x = 285,979.92
  5. Step 5: Solve for x
    x = 285,979.92/594.90
  6. Step 6: Final answer
    x = 480.72

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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.