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Finding the Fourth Proportional to 688.65, 1,033.01 and 220.17

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Solution

The fourth proportional to 688.65, 1,033.01 and 220.17 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 1,033.01 = 220.17 : x
  2. Step 2: Convert to fraction form
    688.65/1,033.01 = 220.17/x
  3. Step 3: Cross multiply
    688.65x = 1,033.01 × 220.17
  4. Step 4: Simplify right side
    688.65x = 227,441.41
  5. Step 5: Solve for x
    x = 227,441.41/688.65
  6. Step 6: Final answer
    x = 330.27

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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.