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Finding the Fourth Proportional to 698.14, 1,046.45 and 438.33

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Solution

The fourth proportional to 698.14, 1,046.45 and 438.33 is: 657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,046.45 = 438.33 : x
  2. Step 2: Convert to fraction form
    698.14/1,046.45 = 438.33/x
  3. Step 3: Cross multiply
    698.14x = 1,046.45 × 438.33
  4. Step 4: Simplify right side
    698.14x = 458,695.45
  5. Step 5: Solve for x
    x = 458,695.45/698.14
  6. Step 6: Final answer
    x = 657.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.