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Finding the Fourth Proportional to 815.35, 1,124.05 and 552.91

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Solution

The fourth proportional to 815.35, 1,124.05 and 552.91 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.35 : 1,124.05 = 552.91 : x
  2. Step 2: Convert to fraction form
    815.35/1,124.05 = 552.91/x
  3. Step 3: Cross multiply
    815.35x = 1,124.05 × 552.91
  4. Step 4: Simplify right side
    815.35x = 621,498.49
  5. Step 5: Solve for x
    x = 621,498.49/815.35
  6. Step 6: Final answer
    x = 762.25

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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.