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Finding the Fourth Proportional to 688.05, 1,026.10 and 664.14

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Solution

The fourth proportional to 688.05, 1,026.10 and 664.14 is: 990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.05 : 1,026.10 = 664.14 : x
  2. Step 2: Convert to fraction form
    688.05/1,026.10 = 664.14/x
  3. Step 3: Cross multiply
    688.05x = 1,026.10 × 664.14
  4. Step 4: Simplify right side
    688.05x = 681,474.05
  5. Step 5: Solve for x
    x = 681,474.05/688.05
  6. Step 6: Final answer
    x = 990.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.