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Finding the Fourth Proportional to 616.88, 849.65 and 485.66

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Solution

The fourth proportional to 616.88, 849.65 and 485.66 is: 668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 849.65 = 485.66 : x
  2. Step 2: Convert to fraction form
    616.88/849.65 = 485.66/x
  3. Step 3: Cross multiply
    616.88x = 849.65 × 485.66
  4. Step 4: Simplify right side
    616.88x = 412,634.34
  5. Step 5: Solve for x
    x = 412,634.34/616.88
  6. Step 6: Final answer
    x = 668.91

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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.