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Finding the Fourth Proportional to 988.11, 1,479.78 and 548.67

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Solution

The fourth proportional to 988.11, 1,479.78 and 548.67 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.11 : 1,479.78 = 548.67 : x
  2. Step 2: Convert to fraction form
    988.11/1,479.78 = 548.67/x
  3. Step 3: Cross multiply
    988.11x = 1,479.78 × 548.67
  4. Step 4: Simplify right side
    988.11x = 811,910.89
  5. Step 5: Solve for x
    x = 811,910.89/988.11
  6. Step 6: Final answer
    x = 821.68

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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.