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Finding the Fourth Proportional to 994.08, 1,491.36 and 344.88

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Solution

The fourth proportional to 994.08, 1,491.36 and 344.88 is: 517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.08 : 1,491.36 = 344.88 : x
  2. Step 2: Convert to fraction form
    994.08/1,491.36 = 344.88/x
  3. Step 3: Cross multiply
    994.08x = 1,491.36 × 344.88
  4. Step 4: Simplify right side
    994.08x = 514,340.24
  5. Step 5: Solve for x
    x = 514,340.24/994.08
  6. Step 6: Final answer
    x = 517.40

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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.