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Finding the Fourth Proportional to 616.21, 850.53 and 491.81

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Solution

The fourth proportional to 616.21, 850.53 and 491.81 is: 678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.21 : 850.53 = 491.81 : x
  2. Step 2: Convert to fraction form
    616.21/850.53 = 491.81/x
  3. Step 3: Cross multiply
    616.21x = 850.53 × 491.81
  4. Step 4: Simplify right side
    616.21x = 418,296.75
  5. Step 5: Solve for x
    x = 418,296.75/616.21
  6. Step 6: Final answer
    x = 678.82

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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.