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Finding the Fourth Proportional to 491.69, 731.34 and 447.86

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Solution

The fourth proportional to 491.69, 731.34 and 447.86 is: 666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.69 : 731.34 = 447.86 : x
  2. Step 2: Convert to fraction form
    491.69/731.34 = 447.86/x
  3. Step 3: Cross multiply
    491.69x = 731.34 × 447.86
  4. Step 4: Simplify right side
    491.69x = 327,539.76
  5. Step 5: Solve for x
    x = 327,539.76/491.69
  6. Step 6: Final answer
    x = 666.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.