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Finding the Fourth Proportional to 491.27, 675.99 and 477

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Solution

The fourth proportional to 491.27, 675.99 and 477 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.27 : 675.99 = 477 : x
  2. Step 2: Convert to fraction form
    491.27/675.99 = 477/x
  3. Step 3: Cross multiply
    491.27x = 675.99 × 477
  4. Step 4: Simplify right side
    491.27x = 322,447.23
  5. Step 5: Solve for x
    x = 322,447.23/491.27
  6. Step 6: Final answer
    x = 656.36

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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.