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Finding the Fourth Proportional to 992.06, 1,487.60 and 406.91

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Solution

The fourth proportional to 992.06, 1,487.60 and 406.91 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.06 : 1,487.60 = 406.91 : x
  2. Step 2: Convert to fraction form
    992.06/1,487.60 = 406.91/x
  3. Step 3: Cross multiply
    992.06x = 1,487.60 × 406.91
  4. Step 4: Simplify right side
    992.06x = 605,311.88
  5. Step 5: Solve for x
    x = 605,311.88/992.06
  6. Step 6: Final answer
    x = 610.16

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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.