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Finding the Fourth Proportional to 489.81, 676.77 and 385.12

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Solution

The fourth proportional to 489.81, 676.77 and 385.12 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.81 : 676.77 = 385.12 : x
  2. Step 2: Convert to fraction form
    489.81/676.77 = 385.12/x
  3. Step 3: Cross multiply
    489.81x = 676.77 × 385.12
  4. Step 4: Simplify right side
    489.81x = 260,637.06
  5. Step 5: Solve for x
    x = 260,637.06/489.81
  6. Step 6: Final answer
    x = 532.11

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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.