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Finding the Fourth Proportional to 1,123.15, 1,684.78 and 301.43

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Solution

The fourth proportional to 1,123.15, 1,684.78 and 301.43 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.15 : 1,684.78 = 301.43 : x
  2. Step 2: Convert to fraction form
    1,123.15/1,684.78 = 301.43/x
  3. Step 3: Cross multiply
    1,123.15x = 1,684.78 × 301.43
  4. Step 4: Simplify right side
    1,123.15x = 507,843.24
  5. Step 5: Solve for x
    x = 507,843.24/1,123.15
  6. Step 6: Final answer
    x = 452.16

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Why These Related Problems?

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