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Finding the Fourth Proportional to 1,937.40, 2,906.06 and 476.56

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Solution

The fourth proportional to 1,937.40, 2,906.06 and 476.56 is: 714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.40 : 2,906.06 = 476.56 : x
  2. Step 2: Convert to fraction form
    1,937.40/2,906.06 = 476.56/x
  3. Step 3: Cross multiply
    1,937.40x = 2,906.06 × 476.56
  4. Step 4: Simplify right side
    1,937.40x = 1,384,911.95
  5. Step 5: Solve for x
    x = 1,384,911.95/1,937.40
  6. Step 6: Final answer
    x = 714.83

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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.