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Finding the Fourth Proportional to 695.81, 1,042.90 and 310.25

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Solution

The fourth proportional to 695.81, 1,042.90 and 310.25 is: 465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.81 : 1,042.90 = 310.25 : x
  2. Step 2: Convert to fraction form
    695.81/1,042.90 = 310.25/x
  3. Step 3: Cross multiply
    695.81x = 1,042.90 × 310.25
  4. Step 4: Simplify right side
    695.81x = 323,559.73
  5. Step 5: Solve for x
    x = 323,559.73/695.81
  6. Step 6: Final answer
    x = 465.01

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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.