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Finding the Fourth Proportional to 1,412.57, 2,118.81 and 425.39

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Solution

The fourth proportional to 1,412.57, 2,118.81 and 425.39 is: 638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.57 : 2,118.81 = 425.39 : x
  2. Step 2: Convert to fraction form
    1,412.57/2,118.81 = 425.39/x
  3. Step 3: Cross multiply
    1,412.57x = 2,118.81 × 425.39
  4. Step 4: Simplify right side
    1,412.57x = 901,320.59
  5. Step 5: Solve for x
    x = 901,320.59/1,412.57
  6. Step 6: Final answer
    x = 638.07

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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.