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Finding the Fourth Proportional to 906.06, 1,358.01 and 688.98

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Solution

The fourth proportional to 906.06, 1,358.01 and 688.98 is: 1,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.06 : 1,358.01 = 688.98 : x
  2. Step 2: Convert to fraction form
    906.06/1,358.01 = 688.98/x
  3. Step 3: Cross multiply
    906.06x = 1,358.01 × 688.98
  4. Step 4: Simplify right side
    906.06x = 935,641.73
  5. Step 5: Solve for x
    x = 935,641.73/906.06
  6. Step 6: Final answer
    x = 1,032.65

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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.