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Finding the Fourth Proportional to 808.70, 1,207.36 and 732.15

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Solution

The fourth proportional to 808.70, 1,207.36 and 732.15 is: 1,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.70 : 1,207.36 = 732.15 : x
  2. Step 2: Convert to fraction form
    808.70/1,207.36 = 732.15/x
  3. Step 3: Cross multiply
    808.70x = 1,207.36 × 732.15
  4. Step 4: Simplify right side
    808.70x = 883,969.54
  5. Step 5: Solve for x
    x = 883,969.54/808.70
  6. Step 6: Final answer
    x = 1,093.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.