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Finding the Fourth Proportional to 491.67, 737.03 and 274.80

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Solution

The fourth proportional to 491.67, 737.03 and 274.80 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 737.03 = 274.80 : x
  2. Step 2: Convert to fraction form
    491.67/737.03 = 274.80/x
  3. Step 3: Cross multiply
    491.67x = 737.03 × 274.80
  4. Step 4: Simplify right side
    491.67x = 202,534.47
  5. Step 5: Solve for x
    x = 202,534.47/491.67
  6. Step 6: Final answer
    x = 411.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.