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Finding the Fourth Proportional to 659.85, 909.94 and 423.76

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Solution

The fourth proportional to 659.85, 909.94 and 423.76 is: 584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.85 : 909.94 = 423.76 : x
  2. Step 2: Convert to fraction form
    659.85/909.94 = 423.76/x
  3. Step 3: Cross multiply
    659.85x = 909.94 × 423.76
  4. Step 4: Simplify right side
    659.85x = 385,591.78
  5. Step 5: Solve for x
    x = 385,591.78/659.85
  6. Step 6: Final answer
    x = 584.36

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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.