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Finding the Fourth Proportional to 1,222.31, 1,686.80 and 698.45

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Solution

The fourth proportional to 1,222.31, 1,686.80 and 698.45 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.31 : 1,686.80 = 698.45 : x
  2. Step 2: Convert to fraction form
    1,222.31/1,686.80 = 698.45/x
  3. Step 3: Cross multiply
    1,222.31x = 1,686.80 × 698.45
  4. Step 4: Simplify right side
    1,222.31x = 1,178,138.77
  5. Step 5: Solve for x
    x = 1,178,138.77/1,222.31
  6. Step 6: Final answer
    x = 963.86

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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.