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Finding the Fourth Proportional to 991.26, 1,484.76 and 579.99

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Solution

The fourth proportional to 991.26, 1,484.76 and 579.99 is: 868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.26 : 1,484.76 = 579.99 : x
  2. Step 2: Convert to fraction form
    991.26/1,484.76 = 579.99/x
  3. Step 3: Cross multiply
    991.26x = 1,484.76 × 579.99
  4. Step 4: Simplify right side
    991.26x = 861,145.95
  5. Step 5: Solve for x
    x = 861,145.95/991.26
  6. Step 6: Final answer
    x = 868.74

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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.