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Finding the Fourth Proportional to 902.88, 1,356.75 and 876.15

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Solution

The fourth proportional to 902.88, 1,356.75 and 876.15 is: 1,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.88 : 1,356.75 = 876.15 : x
  2. Step 2: Convert to fraction form
    902.88/1,356.75 = 876.15/x
  3. Step 3: Cross multiply
    902.88x = 1,356.75 × 876.15
  4. Step 4: Simplify right side
    902.88x = 1,188,716.51
  5. Step 5: Solve for x
    x = 1,188,716.51/902.88
  6. Step 6: Final answer
    x = 1,316.58

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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.