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Finding the Fourth Proportional to 905.31, 1,366.56 and 895.59

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Solution

The fourth proportional to 905.31, 1,366.56 and 895.59 is: 1,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,366.56 = 895.59 : x
  2. Step 2: Convert to fraction form
    905.31/1,366.56 = 895.59/x
  3. Step 3: Cross multiply
    905.31x = 1,366.56 × 895.59
  4. Step 4: Simplify right side
    905.31x = 1,223,877.47
  5. Step 5: Solve for x
    x = 1,223,877.47/905.31
  6. Step 6: Final answer
    x = 1,351.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.