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Finding the Fourth Proportional to 698.86, 1,039.80 and 696.47

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Solution

The fourth proportional to 698.86, 1,039.80 and 696.47 is: 1,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 1,039.80 = 696.47 : x
  2. Step 2: Convert to fraction form
    698.86/1,039.80 = 696.47/x
  3. Step 3: Cross multiply
    698.86x = 1,039.80 × 696.47
  4. Step 4: Simplify right side
    698.86x = 724,180.82
  5. Step 5: Solve for x
    x = 724,180.82/698.86
  6. Step 6: Final answer
    x = 1,036.23

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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.