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Finding the Fourth Proportional to 865.19, 1,304.16 and 815.01

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Solution

The fourth proportional to 865.19, 1,304.16 and 815.01 is: 1,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.19 : 1,304.16 = 815.01 : x
  2. Step 2: Convert to fraction form
    865.19/1,304.16 = 815.01/x
  3. Step 3: Cross multiply
    865.19x = 1,304.16 × 815.01
  4. Step 4: Simplify right side
    865.19x = 1,062,903.44
  5. Step 5: Solve for x
    x = 1,062,903.44/865.19
  6. Step 6: Final answer
    x = 1,228.53

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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.