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Finding the Fourth Proportional to 873.81, 1,310.09 and 411.37

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Solution

The fourth proportional to 873.81, 1,310.09 and 411.37 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.81 : 1,310.09 = 411.37 : x
  2. Step 2: Convert to fraction form
    873.81/1,310.09 = 411.37/x
  3. Step 3: Cross multiply
    873.81x = 1,310.09 × 411.37
  4. Step 4: Simplify right side
    873.81x = 538,926.39
  5. Step 5: Solve for x
    x = 538,926.39/873.81
  6. Step 6: Final answer
    x = 616.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.