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Finding the Fourth Proportional to 991.13, 1,486.79 and 406.00

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Solution

The fourth proportional to 991.13, 1,486.79 and 406.00 is: 609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.13 : 1,486.79 = 406.00 : x
  2. Step 2: Convert to fraction form
    991.13/1,486.79 = 406.00/x
  3. Step 3: Cross multiply
    991.13x = 1,486.79 × 406.00
  4. Step 4: Simplify right side
    991.13x = 603,627.28
  5. Step 5: Solve for x
    x = 603,627.28/991.13
  6. Step 6: Final answer
    x = 609.03

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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.