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Finding the Fourth Proportional to 610.75, 916.49 and 264.17

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Solution

The fourth proportional to 610.75, 916.49 and 264.17 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.75 : 916.49 = 264.17 : x
  2. Step 2: Convert to fraction form
    610.75/916.49 = 264.17/x
  3. Step 3: Cross multiply
    610.75x = 916.49 × 264.17
  4. Step 4: Simplify right side
    610.75x = 242,112.11
  5. Step 5: Solve for x
    x = 242,112.11/610.75
  6. Step 6: Final answer
    x = 396.42

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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.