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Finding the Fourth Proportional to 610.98, 916.83 and 303

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Solution

The fourth proportional to 610.98, 916.83 and 303 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 916.83 = 303 : x
  2. Step 2: Convert to fraction form
    610.98/916.83 = 303/x
  3. Step 3: Cross multiply
    610.98x = 916.83 × 303
  4. Step 4: Simplify right side
    610.98x = 277,799.49
  5. Step 5: Solve for x
    x = 277,799.49/610.98
  6. Step 6: Final answer
    x = 454.68

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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.