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Finding the Fourth Proportional to 694.73, 1,035.50 and 642.06

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Solution

The fourth proportional to 694.73, 1,035.50 and 642.06 is: 957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.73 : 1,035.50 = 642.06 : x
  2. Step 2: Convert to fraction form
    694.73/1,035.50 = 642.06/x
  3. Step 3: Cross multiply
    694.73x = 1,035.50 × 642.06
  4. Step 4: Simplify right side
    694.73x = 664,849.92
  5. Step 5: Solve for x
    x = 664,849.92/694.73
  6. Step 6: Final answer
    x = 957.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.