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Finding the Fourth Proportional to 815.36, 1,125.14 and 461.31

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Solution

The fourth proportional to 815.36, 1,125.14 and 461.31 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.36 : 1,125.14 = 461.31 : x
  2. Step 2: Convert to fraction form
    815.36/1,125.14 = 461.31/x
  3. Step 3: Cross multiply
    815.36x = 1,125.14 × 461.31
  4. Step 4: Simplify right side
    815.36x = 519,036.03
  5. Step 5: Solve for x
    x = 519,036.03/815.36
  6. Step 6: Final answer
    x = 636.58

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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.