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Finding the Fourth Proportional to 1,157.91, 1,736.85 and 280.41

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Solution

The fourth proportional to 1,157.91, 1,736.85 and 280.41 is: 420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.91 : 1,736.85 = 280.41 : x
  2. Step 2: Convert to fraction form
    1,157.91/1,736.85 = 280.41/x
  3. Step 3: Cross multiply
    1,157.91x = 1,736.85 × 280.41
  4. Step 4: Simplify right side
    1,157.91x = 487,030.11
  5. Step 5: Solve for x
    x = 487,030.11/1,157.91
  6. Step 6: Final answer
    x = 420.61

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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.