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Finding the Fourth Proportional to 688.98, 1,033.46 and 175.98

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Solution

The fourth proportional to 688.98, 1,033.46 and 175.98 is: 263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,033.46 = 175.98 : x
  2. Step 2: Convert to fraction form
    688.98/1,033.46 = 175.98/x
  3. Step 3: Cross multiply
    688.98x = 1,033.46 × 175.98
  4. Step 4: Simplify right side
    688.98x = 181,867.41
  5. Step 5: Solve for x
    x = 181,867.41/688.98
  6. Step 6: Final answer
    x = 263.97

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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.