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Finding the Fourth Proportional to 1,540.50, 2,309.34 and 565.86

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Solution

The fourth proportional to 1,540.50, 2,309.34 and 565.86 is: 848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.50 : 2,309.34 = 565.86 : x
  2. Step 2: Convert to fraction form
    1,540.50/2,309.34 = 565.86/x
  3. Step 3: Cross multiply
    1,540.50x = 2,309.34 × 565.86
  4. Step 4: Simplify right side
    1,540.50x = 1,306,763.13
  5. Step 5: Solve for x
    x = 1,306,763.13/1,540.50
  6. Step 6: Final answer
    x = 848.27

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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.