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Finding the Fourth Proportional to 695.30, 1,042.26 and 387.30

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Solution

The fourth proportional to 695.30, 1,042.26 and 387.30 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.30 : 1,042.26 = 387.30 : x
  2. Step 2: Convert to fraction form
    695.30/1,042.26 = 387.30/x
  3. Step 3: Cross multiply
    695.30x = 1,042.26 × 387.30
  4. Step 4: Simplify right side
    695.30x = 403,667.30
  5. Step 5: Solve for x
    x = 403,667.30/695.30
  6. Step 6: Final answer
    x = 580.57

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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.