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Finding the Fourth Proportional to 460.25, 688.65 and 323.57

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Solution

The fourth proportional to 460.25, 688.65 and 323.57 is: 484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 688.65 = 323.57 : x
  2. Step 2: Convert to fraction form
    460.25/688.65 = 323.57/x
  3. Step 3: Cross multiply
    460.25x = 688.65 × 323.57
  4. Step 4: Simplify right side
    460.25x = 222,826.48
  5. Step 5: Solve for x
    x = 222,826.48/460.25
  6. Step 6: Final answer
    x = 484.14

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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.