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Finding the Fourth Proportional to 695.31, 957.99 and 462.03

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Solution

The fourth proportional to 695.31, 957.99 and 462.03 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.31 : 957.99 = 462.03 : x
  2. Step 2: Convert to fraction form
    695.31/957.99 = 462.03/x
  3. Step 3: Cross multiply
    695.31x = 957.99 × 462.03
  4. Step 4: Simplify right side
    695.31x = 442,620.12
  5. Step 5: Solve for x
    x = 442,620.12/695.31
  6. Step 6: Final answer
    x = 636.58

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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.