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Finding the Fourth Proportional to 695.46, 1,043.36 and 208.52

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Solution

The fourth proportional to 695.46, 1,043.36 and 208.52 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.46 : 1,043.36 = 208.52 : x
  2. Step 2: Convert to fraction form
    695.46/1,043.36 = 208.52/x
  3. Step 3: Cross multiply
    695.46x = 1,043.36 × 208.52
  4. Step 4: Simplify right side
    695.46x = 217,565.14
  5. Step 5: Solve for x
    x = 217,565.14/695.46
  6. Step 6: Final answer
    x = 312.84

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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.