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Finding the Fourth Proportional to 991.00, 1,486.32 and 405.88

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Solution

The fourth proportional to 991.00, 1,486.32 and 405.88 is: 608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.00 : 1,486.32 = 405.88 : x
  2. Step 2: Convert to fraction form
    991.00/1,486.32 = 405.88/x
  3. Step 3: Cross multiply
    991.00x = 1,486.32 × 405.88
  4. Step 4: Simplify right side
    991.00x = 603,262.32
  5. Step 5: Solve for x
    x = 603,262.32/991.00
  6. Step 6: Final answer
    x = 608.74

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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.