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Finding the Fourth Proportional to 694.99, 1,042.43 and 208.15

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Solution

The fourth proportional to 694.99, 1,042.43 and 208.15 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.99 : 1,042.43 = 208.15 : x
  2. Step 2: Convert to fraction form
    694.99/1,042.43 = 208.15/x
  3. Step 3: Cross multiply
    694.99x = 1,042.43 × 208.15
  4. Step 4: Simplify right side
    694.99x = 216,980.76
  5. Step 5: Solve for x
    x = 216,980.76/694.99
  6. Step 6: Final answer
    x = 312.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.