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Finding the Fourth Proportional to 873.11, 1,310.01 and 385.82

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Solution

The fourth proportional to 873.11, 1,310.01 and 385.82 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.11 : 1,310.01 = 385.82 : x
  2. Step 2: Convert to fraction form
    873.11/1,310.01 = 385.82/x
  3. Step 3: Cross multiply
    873.11x = 1,310.01 × 385.82
  4. Step 4: Simplify right side
    873.11x = 505,428.06
  5. Step 5: Solve for x
    x = 505,428.06/873.11
  6. Step 6: Final answer
    x = 578.88

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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.