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Finding the Fourth Proportional to 659.41, 909.84 and 493.77

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Solution

The fourth proportional to 659.41, 909.84 and 493.77 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.41 : 909.84 = 493.77 : x
  2. Step 2: Convert to fraction form
    659.41/909.84 = 493.77/x
  3. Step 3: Cross multiply
    659.41x = 909.84 × 493.77
  4. Step 4: Simplify right side
    659.41x = 449,251.70
  5. Step 5: Solve for x
    x = 449,251.70/659.41
  6. Step 6: Final answer
    x = 681.29

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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.