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Finding the Fourth Proportional to 998.15, 1,493.57 and 606.71

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Solution

The fourth proportional to 998.15, 1,493.57 and 606.71 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.15 : 1,493.57 = 606.71 : x
  2. Step 2: Convert to fraction form
    998.15/1,493.57 = 606.71/x
  3. Step 3: Cross multiply
    998.15x = 1,493.57 × 606.71
  4. Step 4: Simplify right side
    998.15x = 906,169.11
  5. Step 5: Solve for x
    x = 906,169.11/998.15
  6. Step 6: Final answer
    x = 907.85

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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.