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Finding the Fourth Proportional to 878.07, 1,317.09 and 253.38

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Solution

The fourth proportional to 878.07, 1,317.09 and 253.38 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.07 : 1,317.09 = 253.38 : x
  2. Step 2: Convert to fraction form
    878.07/1,317.09 = 253.38/x
  3. Step 3: Cross multiply
    878.07x = 1,317.09 × 253.38
  4. Step 4: Simplify right side
    878.07x = 333,724.26
  5. Step 5: Solve for x
    x = 333,724.26/878.07
  6. Step 6: Final answer
    x = 380.07

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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.