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Finding the Fourth Proportional to 460.75, 634.83 and 313.13

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Solution

The fourth proportional to 460.75, 634.83 and 313.13 is: 431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 634.83 = 313.13 : x
  2. Step 2: Convert to fraction form
    460.75/634.83 = 313.13/x
  3. Step 3: Cross multiply
    460.75x = 634.83 × 313.13
  4. Step 4: Simplify right side
    460.75x = 198,784.32
  5. Step 5: Solve for x
    x = 198,784.32/460.75
  6. Step 6: Final answer
    x = 431.44

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Find fourth proportional to 230.38, 317.42 and 156.57
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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.