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Finding the Fourth Proportional to 991.83, 1,487.21 and 505.11

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Solution

The fourth proportional to 991.83, 1,487.21 and 505.11 is: 757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.83 : 1,487.21 = 505.11 : x
  2. Step 2: Convert to fraction form
    991.83/1,487.21 = 505.11/x
  3. Step 3: Cross multiply
    991.83x = 1,487.21 × 505.11
  4. Step 4: Simplify right side
    991.83x = 751,202.12
  5. Step 5: Solve for x
    x = 751,202.12/991.83
  6. Step 6: Final answer
    x = 757.39

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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.