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Finding the Fourth Proportional to 577.82, 796.86 and 489.50

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Solution

The fourth proportional to 577.82, 796.86 and 489.50 is: 675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.82 : 796.86 = 489.50 : x
  2. Step 2: Convert to fraction form
    577.82/796.86 = 489.50/x
  3. Step 3: Cross multiply
    577.82x = 796.86 × 489.50
  4. Step 4: Simplify right side
    577.82x = 390,062.97
  5. Step 5: Solve for x
    x = 390,062.97/577.82
  6. Step 6: Final answer
    x = 675.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.