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Finding the Fourth Proportional to 659.80, 909.84 and 460.86

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Solution

The fourth proportional to 659.80, 909.84 and 460.86 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 909.84 = 460.86 : x
  2. Step 2: Convert to fraction form
    659.80/909.84 = 460.86/x
  3. Step 3: Cross multiply
    659.80x = 909.84 × 460.86
  4. Step 4: Simplify right side
    659.80x = 419,308.86
  5. Step 5: Solve for x
    x = 419,308.86/659.80
  6. Step 6: Final answer
    x = 635.51

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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.