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Finding the Fourth Proportional to 668.30, 999.99 and 588.11

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Solution

The fourth proportional to 668.30, 999.99 and 588.11 is: 880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.30 : 999.99 = 588.11 : x
  2. Step 2: Convert to fraction form
    668.30/999.99 = 588.11/x
  3. Step 3: Cross multiply
    668.30x = 999.99 × 588.11
  4. Step 4: Simplify right side
    668.30x = 588,104.12
  5. Step 5: Solve for x
    x = 588,104.12/668.30
  6. Step 6: Final answer
    x = 880.00

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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.