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Finding the Fourth Proportional to 493.89, 681.65 and 477.66

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Solution

The fourth proportional to 493.89, 681.65 and 477.66 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.89 : 681.65 = 477.66 : x
  2. Step 2: Convert to fraction form
    493.89/681.65 = 477.66/x
  3. Step 3: Cross multiply
    493.89x = 681.65 × 477.66
  4. Step 4: Simplify right side
    493.89x = 325,594.55
  5. Step 5: Solve for x
    x = 325,594.55/493.89
  6. Step 6: Final answer
    x = 659.25

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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.