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Finding the Fourth Proportional to 577.06, 865.29 and 412.42

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Solution

The fourth proportional to 577.06, 865.29 and 412.42 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.06 : 865.29 = 412.42 : x
  2. Step 2: Convert to fraction form
    577.06/865.29 = 412.42/x
  3. Step 3: Cross multiply
    577.06x = 865.29 × 412.42
  4. Step 4: Simplify right side
    577.06x = 356,862.90
  5. Step 5: Solve for x
    x = 356,862.90/577.06
  6. Step 6: Final answer
    x = 618.42

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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.