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Finding the Fourth Proportional to 994.64, 1,362.90 and 988.24

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Solution

The fourth proportional to 994.64, 1,362.90 and 988.24 is: 1,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.64 : 1,362.90 = 988.24 : x
  2. Step 2: Convert to fraction form
    994.64/1,362.90 = 988.24/x
  3. Step 3: Cross multiply
    994.64x = 1,362.90 × 988.24
  4. Step 4: Simplify right side
    994.64x = 1,346,872.30
  5. Step 5: Solve for x
    x = 1,346,872.30/994.64
  6. Step 6: Final answer
    x = 1,354.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.