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Finding the Fourth Proportional to 815.22, 1,123.83 and 566.16

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Solution

The fourth proportional to 815.22, 1,123.83 and 566.16 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.22 : 1,123.83 = 566.16 : x
  2. Step 2: Convert to fraction form
    815.22/1,123.83 = 566.16/x
  3. Step 3: Cross multiply
    815.22x = 1,123.83 × 566.16
  4. Step 4: Simplify right side
    815.22x = 636,267.59
  5. Step 5: Solve for x
    x = 636,267.59/815.22
  6. Step 6: Final answer
    x = 780.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.