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Finding the Fourth Proportional to 1,400.47, 2,100.98 and 426.49

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Solution

The fourth proportional to 1,400.47, 2,100.98 and 426.49 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.47 : 2,100.98 = 426.49 : x
  2. Step 2: Convert to fraction form
    1,400.47/2,100.98 = 426.49/x
  3. Step 3: Cross multiply
    1,400.47x = 2,100.98 × 426.49
  4. Step 4: Simplify right side
    1,400.47x = 896,046.96
  5. Step 5: Solve for x
    x = 896,046.96/1,400.47
  6. Step 6: Final answer
    x = 639.82

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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.