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Finding the Fourth Proportional to 994.10, 1,491.24 and 947.48

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Solution

The fourth proportional to 994.10, 1,491.24 and 947.48 is: 1,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.10 : 1,491.24 = 947.48 : x
  2. Step 2: Convert to fraction form
    994.10/1,491.24 = 947.48/x
  3. Step 3: Cross multiply
    994.10x = 1,491.24 × 947.48
  4. Step 4: Simplify right side
    994.10x = 1,412,920.08
  5. Step 5: Solve for x
    x = 1,412,920.08/994.10
  6. Step 6: Final answer
    x = 1,421.31

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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.