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Finding the Fourth Proportional to 991.82, 1,487.68 and 406.66

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Solution

The fourth proportional to 991.82, 1,487.68 and 406.66 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.82 : 1,487.68 = 406.66 : x
  2. Step 2: Convert to fraction form
    991.82/1,487.68 = 406.66/x
  3. Step 3: Cross multiply
    991.82x = 1,487.68 × 406.66
  4. Step 4: Simplify right side
    991.82x = 604,976.48
  5. Step 5: Solve for x
    x = 604,976.48/991.82
  6. Step 6: Final answer
    x = 609.97

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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.