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Finding the Fourth Proportional to 694.92, 1,035.69 and 693.84

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Solution

The fourth proportional to 694.92, 1,035.69 and 693.84 is: 1,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 1,035.69 = 693.84 : x
  2. Step 2: Convert to fraction form
    694.92/1,035.69 = 693.84/x
  3. Step 3: Cross multiply
    694.92x = 1,035.69 × 693.84
  4. Step 4: Simplify right side
    694.92x = 718,603.15
  5. Step 5: Solve for x
    x = 718,603.15/694.92
  6. Step 6: Final answer
    x = 1,034.08

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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.