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Finding the Fourth Proportional to 491.70, 732.49 and 467.94

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Solution

The fourth proportional to 491.70, 732.49 and 467.94 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 732.49 = 467.94 : x
  2. Step 2: Convert to fraction form
    491.70/732.49 = 467.94/x
  3. Step 3: Cross multiply
    491.70x = 732.49 × 467.94
  4. Step 4: Simplify right side
    491.70x = 342,761.37
  5. Step 5: Solve for x
    x = 342,761.37/491.70
  6. Step 6: Final answer
    x = 697.09

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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.