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Finding the Fourth Proportional to 508.86, 701.19 and 489.69

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Solution

The fourth proportional to 508.86, 701.19 and 489.69 is: 674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 701.19 = 489.69 : x
  2. Step 2: Convert to fraction form
    508.86/701.19 = 489.69/x
  3. Step 3: Cross multiply
    508.86x = 701.19 × 489.69
  4. Step 4: Simplify right side
    508.86x = 343,365.73
  5. Step 5: Solve for x
    x = 343,365.73/508.86
  6. Step 6: Final answer
    x = 674.77

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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.