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Finding the Fourth Proportional to 659.45, 990.70 and 544.33

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Solution

The fourth proportional to 659.45, 990.70 and 544.33 is: 817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.45 : 990.70 = 544.33 : x
  2. Step 2: Convert to fraction form
    659.45/990.70 = 544.33/x
  3. Step 3: Cross multiply
    659.45x = 990.70 × 544.33
  4. Step 4: Simplify right side
    659.45x = 539,267.61
  5. Step 5: Solve for x
    x = 539,267.61/659.45
  6. Step 6: Final answer
    x = 817.75

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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.