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Finding the Fourth Proportional to 1,148.72, 1,723.07 and 761.15

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Solution

The fourth proportional to 1,148.72, 1,723.07 and 761.15 is: 1,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.72 : 1,723.07 = 761.15 : x
  2. Step 2: Convert to fraction form
    1,148.72/1,723.07 = 761.15/x
  3. Step 3: Cross multiply
    1,148.72x = 1,723.07 × 761.15
  4. Step 4: Simplify right side
    1,148.72x = 1,311,520.94
  5. Step 5: Solve for x
    x = 1,311,520.94/1,148.72
  6. Step 6: Final answer
    x = 1,141.73

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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.