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Finding the Fourth Proportional to 491.47, 677.26 and 325.62

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Solution

The fourth proportional to 491.47, 677.26 and 325.62 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 677.26 = 325.62 : x
  2. Step 2: Convert to fraction form
    491.47/677.26 = 325.62/x
  3. Step 3: Cross multiply
    491.47x = 677.26 × 325.62
  4. Step 4: Simplify right side
    491.47x = 220,529.40
  5. Step 5: Solve for x
    x = 220,529.40/491.47
  6. Step 6: Final answer
    x = 448.71

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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.