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Finding the Fourth Proportional to 1,123.27, 1,684.95 and 301.62

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Solution

The fourth proportional to 1,123.27, 1,684.95 and 301.62 is: 452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.27 : 1,684.95 = 301.62 : x
  2. Step 2: Convert to fraction form
    1,123.27/1,684.95 = 301.62/x
  3. Step 3: Cross multiply
    1,123.27x = 1,684.95 × 301.62
  4. Step 4: Simplify right side
    1,123.27x = 508,214.62
  5. Step 5: Solve for x
    x = 508,214.62/1,123.27
  6. Step 6: Final answer
    x = 452.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.