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Finding the Fourth Proportional to 489.11, 728.69 and 465.89

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Solution

The fourth proportional to 489.11, 728.69 and 465.89 is: 694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 728.69 = 465.89 : x
  2. Step 2: Convert to fraction form
    489.11/728.69 = 465.89/x
  3. Step 3: Cross multiply
    489.11x = 728.69 × 465.89
  4. Step 4: Simplify right side
    489.11x = 339,483.41
  5. Step 5: Solve for x
    x = 339,483.41/489.11
  6. Step 6: Final answer
    x = 694.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.