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Finding the Fourth Proportional to 1,356.21, 2,034.28 and 625.78

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Solution

The fourth proportional to 1,356.21, 2,034.28 and 625.78 is: 938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.21 : 2,034.28 = 625.78 : x
  2. Step 2: Convert to fraction form
    1,356.21/2,034.28 = 625.78/x
  3. Step 3: Cross multiply
    1,356.21x = 2,034.28 × 625.78
  4. Step 4: Simplify right side
    1,356.21x = 1,273,011.74
  5. Step 5: Solve for x
    x = 1,273,011.74/1,356.21
  6. Step 6: Final answer
    x = 938.65

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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.