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Finding the Fourth Proportional to 491.74, 733.81 and 437.20

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Solution

The fourth proportional to 491.74, 733.81 and 437.20 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.74 : 733.81 = 437.20 : x
  2. Step 2: Convert to fraction form
    491.74/733.81 = 437.20/x
  3. Step 3: Cross multiply
    491.74x = 733.81 × 437.20
  4. Step 4: Simplify right side
    491.74x = 320,821.73
  5. Step 5: Solve for x
    x = 320,821.73/491.74
  6. Step 6: Final answer
    x = 652.42

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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.