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Finding the Fourth Proportional to 1,994.30, 2,990.24 and 761.79

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Solution

The fourth proportional to 1,994.30, 2,990.24 and 761.79 is: 1,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.30 : 2,990.24 = 761.79 : x
  2. Step 2: Convert to fraction form
    1,994.30/2,990.24 = 761.79/x
  3. Step 3: Cross multiply
    1,994.30x = 2,990.24 × 761.79
  4. Step 4: Simplify right side
    1,994.30x = 2,277,931.12
  5. Step 5: Solve for x
    x = 2,277,931.12/1,994.30
  6. Step 6: Final answer
    x = 1,142.22

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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.