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Finding the Fourth Proportional to 698.07, 1,046.42 and 351.21

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Solution

The fourth proportional to 698.07, 1,046.42 and 351.21 is: 526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 1,046.42 = 351.21 : x
  2. Step 2: Convert to fraction form
    698.07/1,046.42 = 351.21/x
  3. Step 3: Cross multiply
    698.07x = 1,046.42 × 351.21
  4. Step 4: Simplify right side
    698.07x = 367,511.41
  5. Step 5: Solve for x
    x = 367,511.41/698.07
  6. Step 6: Final answer
    x = 526.47

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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.