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Finding the Fourth Proportional to 460.99, 690.94 and 323.29

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Solution

The fourth proportional to 460.99, 690.94 and 323.29 is: 484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 690.94 = 323.29 : x
  2. Step 2: Convert to fraction form
    460.99/690.94 = 323.29/x
  3. Step 3: Cross multiply
    460.99x = 690.94 × 323.29
  4. Step 4: Simplify right side
    460.99x = 223,368.92
  5. Step 5: Solve for x
    x = 223,368.92/460.99
  6. Step 6: Final answer
    x = 484.55

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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.