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Finding the Fourth Proportional to 616.92, 849.93 and 507.09

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Solution

The fourth proportional to 616.92, 849.93 and 507.09 is: 698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 849.93 = 507.09 : x
  2. Step 2: Convert to fraction form
    616.92/849.93 = 507.09/x
  3. Step 3: Cross multiply
    616.92x = 849.93 × 507.09
  4. Step 4: Simplify right side
    616.92x = 430,992.29
  5. Step 5: Solve for x
    x = 430,992.29/616.92
  6. Step 6: Final answer
    x = 698.62

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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.