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Finding the Fourth Proportional to 575.86, 862.98 and 412.78

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Solution

The fourth proportional to 575.86, 862.98 and 412.78 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 862.98 = 412.78 : x
  2. Step 2: Convert to fraction form
    575.86/862.98 = 412.78/x
  3. Step 3: Cross multiply
    575.86x = 862.98 × 412.78
  4. Step 4: Simplify right side
    575.86x = 356,220.88
  5. Step 5: Solve for x
    x = 356,220.88/575.86
  6. Step 6: Final answer
    x = 618.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.