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Finding the Fourth Proportional to 1,028.47, 1,542.09 and 412.47

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Solution

The fourth proportional to 1,028.47, 1,542.09 and 412.47 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.47 : 1,542.09 = 412.47 : x
  2. Step 2: Convert to fraction form
    1,028.47/1,542.09 = 412.47/x
  3. Step 3: Cross multiply
    1,028.47x = 1,542.09 × 412.47
  4. Step 4: Simplify right side
    1,028.47x = 636,065.86
  5. Step 5: Solve for x
    x = 636,065.86/1,028.47
  6. Step 6: Final answer
    x = 618.46

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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.