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Finding the Fourth Proportional to 662.96, 914.52 and 616.03

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Solution

The fourth proportional to 662.96, 914.52 and 616.03 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 914.52 = 616.03 : x
  2. Step 2: Convert to fraction form
    662.96/914.52 = 616.03/x
  3. Step 3: Cross multiply
    662.96x = 914.52 × 616.03
  4. Step 4: Simplify right side
    662.96x = 563,371.76
  5. Step 5: Solve for x
    x = 563,371.76/662.96
  6. Step 6: Final answer
    x = 849.78

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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.