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Finding the Fourth Proportional to 1,425.97, 2,138.44 and 501.35

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Solution

The fourth proportional to 1,425.97, 2,138.44 and 501.35 is: 751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.97 : 2,138.44 = 501.35 : x
  2. Step 2: Convert to fraction form
    1,425.97/2,138.44 = 501.35/x
  3. Step 3: Cross multiply
    1,425.97x = 2,138.44 × 501.35
  4. Step 4: Simplify right side
    1,425.97x = 1,072,106.89
  5. Step 5: Solve for x
    x = 1,072,106.89/1,425.97
  6. Step 6: Final answer
    x = 751.84

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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.