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Finding the Fourth Proportional to 698.66, 1,048.28 and 351.81

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Solution

The fourth proportional to 698.66, 1,048.28 and 351.81 is: 527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.66 : 1,048.28 = 351.81 : x
  2. Step 2: Convert to fraction form
    698.66/1,048.28 = 351.81/x
  3. Step 3: Cross multiply
    698.66x = 1,048.28 × 351.81
  4. Step 4: Simplify right side
    698.66x = 368,796.27
  5. Step 5: Solve for x
    x = 368,796.27/698.66
  6. Step 6: Final answer
    x = 527.86

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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.