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Finding the Fourth Proportional to 698.67, 1,039.14 and 684.09

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Solution

The fourth proportional to 698.67, 1,039.14 and 684.09 is: 1,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.67 : 1,039.14 = 684.09 : x
  2. Step 2: Convert to fraction form
    698.67/1,039.14 = 684.09/x
  3. Step 3: Cross multiply
    698.67x = 1,039.14 × 684.09
  4. Step 4: Simplify right side
    698.67x = 710,865.28
  5. Step 5: Solve for x
    x = 710,865.28/698.67
  6. Step 6: Final answer
    x = 1,017.45

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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.