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Finding the Fourth Proportional to 815.11, 1,124.16 and 504.07

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Solution

The fourth proportional to 815.11, 1,124.16 and 504.07 is: 695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.11 : 1,124.16 = 504.07 : x
  2. Step 2: Convert to fraction form
    815.11/1,124.16 = 504.07/x
  3. Step 3: Cross multiply
    815.11x = 1,124.16 × 504.07
  4. Step 4: Simplify right side
    815.11x = 566,655.33
  5. Step 5: Solve for x
    x = 566,655.33/815.11
  6. Step 6: Final answer
    x = 695.19

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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.