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Finding the Fourth Proportional to 695.50, 1,042.85 and 305.49

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Solution

The fourth proportional to 695.50, 1,042.85 and 305.49 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.50 : 1,042.85 = 305.49 : x
  2. Step 2: Convert to fraction form
    695.50/1,042.85 = 305.49/x
  3. Step 3: Cross multiply
    695.50x = 1,042.85 × 305.49
  4. Step 4: Simplify right side
    695.50x = 318,573.50
  5. Step 5: Solve for x
    x = 318,573.50/695.50
  6. Step 6: Final answer
    x = 458.05

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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.