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Finding the Fourth Proportional to 991.50, 1,487.82 and 406.41

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Solution

The fourth proportional to 991.50, 1,487.82 and 406.41 is: 609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.50 : 1,487.82 = 406.41 : x
  2. Step 2: Convert to fraction form
    991.50/1,487.82 = 406.41/x
  3. Step 3: Cross multiply
    991.50x = 1,487.82 × 406.41
  4. Step 4: Simplify right side
    991.50x = 604,664.93
  5. Step 5: Solve for x
    x = 604,664.93/991.50
  6. Step 6: Final answer
    x = 609.85

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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.