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Finding the Fourth Proportional to 563.74, 777.57 and 489.92

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Solution

The fourth proportional to 563.74, 777.57 and 489.92 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.74 : 777.57 = 489.92 : x
  2. Step 2: Convert to fraction form
    563.74/777.57 = 489.92/x
  3. Step 3: Cross multiply
    563.74x = 777.57 × 489.92
  4. Step 4: Simplify right side
    563.74x = 380,947.09
  5. Step 5: Solve for x
    x = 380,947.09/563.74
  6. Step 6: Final answer
    x = 675.75

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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.