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Finding the Fourth Proportional to 460.71, 634.79 and 313.09

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Solution

The fourth proportional to 460.71, 634.79 and 313.09 is: 431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.71 : 634.79 = 313.09 : x
  2. Step 2: Convert to fraction form
    460.71/634.79 = 313.09/x
  3. Step 3: Cross multiply
    460.71x = 634.79 × 313.09
  4. Step 4: Simplify right side
    460.71x = 198,746.40
  5. Step 5: Solve for x
    x = 198,746.40/460.71
  6. Step 6: Final answer
    x = 431.39

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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.