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Finding the Fourth Proportional to 460.73, 690.97 and 314.45

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Solution

The fourth proportional to 460.73, 690.97 and 314.45 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.73 : 690.97 = 314.45 : x
  2. Step 2: Convert to fraction form
    460.73/690.97 = 314.45/x
  3. Step 3: Cross multiply
    460.73x = 690.97 × 314.45
  4. Step 4: Simplify right side
    460.73x = 217,278.70
  5. Step 5: Solve for x
    x = 217,278.70/460.73
  6. Step 6: Final answer
    x = 471.60

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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.