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Finding the Fourth Proportional to 699.40, 962.31 and 605.86

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Solution

The fourth proportional to 699.40, 962.31 and 605.86 is: 833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.40 : 962.31 = 605.86 : x
  2. Step 2: Convert to fraction form
    699.40/962.31 = 605.86/x
  3. Step 3: Cross multiply
    699.40x = 962.31 × 605.86
  4. Step 4: Simplify right side
    699.40x = 583,025.14
  5. Step 5: Solve for x
    x = 583,025.14/699.40
  6. Step 6: Final answer
    x = 833.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.