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Finding the Fourth Proportional to 616.99, 849.18 and 492.25

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Solution

The fourth proportional to 616.99, 849.18 and 492.25 is: 677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.99 : 849.18 = 492.25 : x
  2. Step 2: Convert to fraction form
    616.99/849.18 = 492.25/x
  3. Step 3: Cross multiply
    616.99x = 849.18 × 492.25
  4. Step 4: Simplify right side
    616.99x = 418,008.86
  5. Step 5: Solve for x
    x = 418,008.86/616.99
  6. Step 6: Final answer
    x = 677.50

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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.