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Finding the Fourth Proportional to 698.32, 1,046.06 and 351.44

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Solution

The fourth proportional to 698.32, 1,046.06 and 351.44 is: 526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 1,046.06 = 351.44 : x
  2. Step 2: Convert to fraction form
    698.32/1,046.06 = 351.44/x
  3. Step 3: Cross multiply
    698.32x = 1,046.06 × 351.44
  4. Step 4: Simplify right side
    698.32x = 367,627.33
  5. Step 5: Solve for x
    x = 367,627.33/698.32
  6. Step 6: Final answer
    x = 526.45

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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.