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Finding the Fourth Proportional to 491.81, 737.03 and 422.11

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Solution

The fourth proportional to 491.81, 737.03 and 422.11 is: 632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 737.03 = 422.11 : x
  2. Step 2: Convert to fraction form
    491.81/737.03 = 422.11/x
  3. Step 3: Cross multiply
    491.81x = 737.03 × 422.11
  4. Step 4: Simplify right side
    491.81x = 311,109.71
  5. Step 5: Solve for x
    x = 311,109.71/491.81
  6. Step 6: Final answer
    x = 632.59

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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.