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Finding the Fourth Proportional to 1,425.51, 2,138.31 and 385.56

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Solution

The fourth proportional to 1,425.51, 2,138.31 and 385.56 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.51 : 2,138.31 = 385.56 : x
  2. Step 2: Convert to fraction form
    1,425.51/2,138.31 = 385.56/x
  3. Step 3: Cross multiply
    1,425.51x = 2,138.31 × 385.56
  4. Step 4: Simplify right side
    1,425.51x = 824,446.80
  5. Step 5: Solve for x
    x = 824,446.80/1,425.51
  6. Step 6: Final answer
    x = 578.35

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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.