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Finding the Fourth Proportional to 988.94, 1,480.66 and 499.59

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Solution

The fourth proportional to 988.94, 1,480.66 and 499.59 is: 747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.94 : 1,480.66 = 499.59 : x
  2. Step 2: Convert to fraction form
    988.94/1,480.66 = 499.59/x
  3. Step 3: Cross multiply
    988.94x = 1,480.66 × 499.59
  4. Step 4: Simplify right side
    988.94x = 739,721.68
  5. Step 5: Solve for x
    x = 739,721.68/988.94
  6. Step 6: Final answer
    x = 747.99

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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.