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Finding the Fourth Proportional to 1,253.76, 1,879.76 and 523.12

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Solution

The fourth proportional to 1,253.76, 1,879.76 and 523.12 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.76 : 1,879.76 = 523.12 : x
  2. Step 2: Convert to fraction form
    1,253.76/1,879.76 = 523.12/x
  3. Step 3: Cross multiply
    1,253.76x = 1,879.76 × 523.12
  4. Step 4: Simplify right side
    1,253.76x = 983,340.05
  5. Step 5: Solve for x
    x = 983,340.05/1,253.76
  6. Step 6: Final answer
    x = 784.31

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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.