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Finding the Fourth Proportional to 489.11, 732.65 and 391.77

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Solution

The fourth proportional to 489.11, 732.65 and 391.77 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 732.65 = 391.77 : x
  2. Step 2: Convert to fraction form
    489.11/732.65 = 391.77/x
  3. Step 3: Cross multiply
    489.11x = 732.65 × 391.77
  4. Step 4: Simplify right side
    489.11x = 287,028.33
  5. Step 5: Solve for x
    x = 287,028.33/489.11
  6. Step 6: Final answer
    x = 586.84

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Why These Related Problems?

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