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Finding the Fourth Proportional to 998.94, 1,496.58 and 557.89

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Solution

The fourth proportional to 998.94, 1,496.58 and 557.89 is: 835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.94 : 1,496.58 = 557.89 : x
  2. Step 2: Convert to fraction form
    998.94/1,496.58 = 557.89/x
  3. Step 3: Cross multiply
    998.94x = 1,496.58 × 557.89
  4. Step 4: Simplify right side
    998.94x = 834,928.89
  5. Step 5: Solve for x
    x = 834,928.89/998.94
  6. Step 6: Final answer
    x = 835.82

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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.