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Finding the Fourth Proportional to 608.81, 910.98 and 511.61

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Solution

The fourth proportional to 608.81, 910.98 and 511.61 is: 765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 910.98 = 511.61 : x
  2. Step 2: Convert to fraction form
    608.81/910.98 = 511.61/x
  3. Step 3: Cross multiply
    608.81x = 910.98 × 511.61
  4. Step 4: Simplify right side
    608.81x = 466,061.92
  5. Step 5: Solve for x
    x = 466,061.92/608.81
  6. Step 6: Final answer
    x = 765.54

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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.