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Finding the Fourth Proportional to 1,512.79, 2,268.90 and 472.66

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Solution

The fourth proportional to 1,512.79, 2,268.90 and 472.66 is: 708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.79 : 2,268.90 = 472.66 : x
  2. Step 2: Convert to fraction form
    1,512.79/2,268.90 = 472.66/x
  3. Step 3: Cross multiply
    1,512.79x = 2,268.90 × 472.66
  4. Step 4: Simplify right side
    1,512.79x = 1,072,418.27
  5. Step 5: Solve for x
    x = 1,072,418.27/1,512.79
  6. Step 6: Final answer
    x = 708.90

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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.