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Finding the Fourth Proportional to 491.81, 737.49 and 286.44

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Solution

The fourth proportional to 491.81, 737.49 and 286.44 is: 429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 737.49 = 286.44 : x
  2. Step 2: Convert to fraction form
    491.81/737.49 = 286.44/x
  3. Step 3: Cross multiply
    491.81x = 737.49 × 286.44
  4. Step 4: Simplify right side
    491.81x = 211,246.64
  5. Step 5: Solve for x
    x = 211,246.64/491.81
  6. Step 6: Final answer
    x = 429.53

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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.