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Finding the Fourth Proportional to 1,412.47, 2,118.71 and 386.47

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Solution

The fourth proportional to 1,412.47, 2,118.71 and 386.47 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.47 : 2,118.71 = 386.47 : x
  2. Step 2: Convert to fraction form
    1,412.47/2,118.71 = 386.47/x
  3. Step 3: Cross multiply
    1,412.47x = 2,118.71 × 386.47
  4. Step 4: Simplify right side
    1,412.47x = 818,815.92
  5. Step 5: Solve for x
    x = 818,815.92/1,412.47
  6. Step 6: Final answer
    x = 579.71

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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.