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Finding the Fourth Proportional to 873.05, 1,309.56 and 317.75

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Solution

The fourth proportional to 873.05, 1,309.56 and 317.75 is: 476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.05 : 1,309.56 = 317.75 : x
  2. Step 2: Convert to fraction form
    873.05/1,309.56 = 317.75/x
  3. Step 3: Cross multiply
    873.05x = 1,309.56 × 317.75
  4. Step 4: Simplify right side
    873.05x = 416,115.96
  5. Step 5: Solve for x
    x = 416,115.96/873.05
  6. Step 6: Final answer
    x = 476.63

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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.