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Finding the Fourth Proportional to 908.15, 1,368.29 and 821.59

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Solution

The fourth proportional to 908.15, 1,368.29 and 821.59 is: 1,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.15 : 1,368.29 = 821.59 : x
  2. Step 2: Convert to fraction form
    908.15/1,368.29 = 821.59/x
  3. Step 3: Cross multiply
    908.15x = 1,368.29 × 821.59
  4. Step 4: Simplify right side
    908.15x = 1,124,171.33
  5. Step 5: Solve for x
    x = 1,124,171.33/908.15
  6. Step 6: Final answer
    x = 1,237.87

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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.