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Finding the Fourth Proportional to 991.26, 1,487.25 and 414.18

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Solution

The fourth proportional to 991.26, 1,487.25 and 414.18 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.26 : 1,487.25 = 414.18 : x
  2. Step 2: Convert to fraction form
    991.26/1,487.25 = 414.18/x
  3. Step 3: Cross multiply
    991.26x = 1,487.25 × 414.18
  4. Step 4: Simplify right side
    991.26x = 615,989.21
  5. Step 5: Solve for x
    x = 615,989.21/991.26
  6. Step 6: Final answer
    x = 621.42

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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.