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Finding the Fourth Proportional to 688.81, 1,033.20 and 201.87

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Solution

The fourth proportional to 688.81, 1,033.20 and 201.87 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.81 : 1,033.20 = 201.87 : x
  2. Step 2: Convert to fraction form
    688.81/1,033.20 = 201.87/x
  3. Step 3: Cross multiply
    688.81x = 1,033.20 × 201.87
  4. Step 4: Simplify right side
    688.81x = 208,572.08
  5. Step 5: Solve for x
    x = 208,572.08/688.81
  6. Step 6: Final answer
    x = 302.80

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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.