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Finding the Fourth Proportional to 660.40, 991.20 and 444.13

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Solution

The fourth proportional to 660.40, 991.20 and 444.13 is: 666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.40 : 991.20 = 444.13 : x
  2. Step 2: Convert to fraction form
    660.40/991.20 = 444.13/x
  3. Step 3: Cross multiply
    660.40x = 991.20 × 444.13
  4. Step 4: Simplify right side
    660.40x = 440,221.66
  5. Step 5: Solve for x
    x = 440,221.66/660.40
  6. Step 6: Final answer
    x = 666.60

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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.