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Finding the Fourth Proportional to 697.11, 1,039.42 and 684.81

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Solution

The fourth proportional to 697.11, 1,039.42 and 684.81 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.11 : 1,039.42 = 684.81 : x
  2. Step 2: Convert to fraction form
    697.11/1,039.42 = 684.81/x
  3. Step 3: Cross multiply
    697.11x = 1,039.42 × 684.81
  4. Step 4: Simplify right side
    697.11x = 711,805.21
  5. Step 5: Solve for x
    x = 711,805.21/697.11
  6. Step 6: Final answer
    x = 1,021.08

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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.