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Finding the Fourth Proportional to 994.41, 1,491.14 and 345.21

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Solution

The fourth proportional to 994.41, 1,491.14 and 345.21 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.41 : 1,491.14 = 345.21 : x
  2. Step 2: Convert to fraction form
    994.41/1,491.14 = 345.21/x
  3. Step 3: Cross multiply
    994.41x = 1,491.14 × 345.21
  4. Step 4: Simplify right side
    994.41x = 514,754.71
  5. Step 5: Solve for x
    x = 514,754.71/994.41
  6. Step 6: Final answer
    x = 517.65

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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.