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Finding the Fourth Proportional to 688.70, 1,033.04 and 399.98

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Solution

The fourth proportional to 688.70, 1,033.04 and 399.98 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 1,033.04 = 399.98 : x
  2. Step 2: Convert to fraction form
    688.70/1,033.04 = 399.98/x
  3. Step 3: Cross multiply
    688.70x = 1,033.04 × 399.98
  4. Step 4: Simplify right side
    688.70x = 413,191.17
  5. Step 5: Solve for x
    x = 413,191.17/688.70
  6. Step 6: Final answer
    x = 599.96

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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.