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Finding the Fourth Proportional to 460.28, 634.98 and 313.04

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Solution

The fourth proportional to 460.28, 634.98 and 313.04 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 634.98 = 313.04 : x
  2. Step 2: Convert to fraction form
    460.28/634.98 = 313.04/x
  3. Step 3: Cross multiply
    460.28x = 634.98 × 313.04
  4. Step 4: Simplify right side
    460.28x = 198,774.14
  5. Step 5: Solve for x
    x = 198,774.14/460.28
  6. Step 6: Final answer
    x = 431.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.