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Finding the Fourth Proportional to 815.98, 1,126.02 and 442.95

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Solution

The fourth proportional to 815.98, 1,126.02 and 442.95 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.98 : 1,126.02 = 442.95 : x
  2. Step 2: Convert to fraction form
    815.98/1,126.02 = 442.95/x
  3. Step 3: Cross multiply
    815.98x = 1,126.02 × 442.95
  4. Step 4: Simplify right side
    815.98x = 498,767.09
  5. Step 5: Solve for x
    x = 498,767.09/815.98
  6. Step 6: Final answer
    x = 611.25

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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.