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Finding the Fourth Proportional to 806.37, 1,115.42 and 754.13

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Solution

The fourth proportional to 806.37, 1,115.42 and 754.13 is: 1,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.37 : 1,115.42 = 754.13 : x
  2. Step 2: Convert to fraction form
    806.37/1,115.42 = 754.13/x
  3. Step 3: Cross multiply
    806.37x = 1,115.42 × 754.13
  4. Step 4: Simplify right side
    806.37x = 841,162.34
  5. Step 5: Solve for x
    x = 841,162.34/806.37
  6. Step 6: Final answer
    x = 1,043.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.