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Finding the Fourth Proportional to 815.05, 1,124.36 and 515.79

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Solution

The fourth proportional to 815.05, 1,124.36 and 515.79 is: 711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.05 : 1,124.36 = 515.79 : x
  2. Step 2: Convert to fraction form
    815.05/1,124.36 = 515.79/x
  3. Step 3: Cross multiply
    815.05x = 1,124.36 × 515.79
  4. Step 4: Simplify right side
    815.05x = 579,933.17
  5. Step 5: Solve for x
    x = 579,933.17/815.05
  6. Step 6: Final answer
    x = 711.53

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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.