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Finding the Fourth Proportional to 506.80, 699.30 and 489.24

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Solution

The fourth proportional to 506.80, 699.30 and 489.24 is: 675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 699.30 = 489.24 : x
  2. Step 2: Convert to fraction form
    506.80/699.30 = 489.24/x
  3. Step 3: Cross multiply
    506.80x = 699.30 × 489.24
  4. Step 4: Simplify right side
    506.80x = 342,125.53
  5. Step 5: Solve for x
    x = 342,125.53/506.80
  6. Step 6: Final answer
    x = 675.07

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