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Finding the Fourth Proportional to 659.22, 909.67 and 393.96

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Solution

The fourth proportional to 659.22, 909.67 and 393.96 is: 543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.22 : 909.67 = 393.96 : x
  2. Step 2: Convert to fraction form
    659.22/909.67 = 393.96/x
  3. Step 3: Cross multiply
    659.22x = 909.67 × 393.96
  4. Step 4: Simplify right side
    659.22x = 358,373.59
  5. Step 5: Solve for x
    x = 358,373.59/659.22
  6. Step 6: Final answer
    x = 543.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.