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Finding the Fourth Proportional to 688.07, 1,032.00 and 201.01

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Solution

The fourth proportional to 688.07, 1,032.00 and 201.01 is: 301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 1,032.00 = 201.01 : x
  2. Step 2: Convert to fraction form
    688.07/1,032.00 = 201.01/x
  3. Step 3: Cross multiply
    688.07x = 1,032.00 × 201.01
  4. Step 4: Simplify right side
    688.07x = 207,438.99
  5. Step 5: Solve for x
    x = 207,438.99/688.07
  6. Step 6: Final answer
    x = 301.48

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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.