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Finding the Fourth Proportional to 1,600.45, 2,400.75 and 560.56

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Solution

The fourth proportional to 1,600.45, 2,400.75 and 560.56 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.45 : 2,400.75 = 560.56 : x
  2. Step 2: Convert to fraction form
    1,600.45/2,400.75 = 560.56/x
  3. Step 3: Cross multiply
    1,600.45x = 2,400.75 × 560.56
  4. Step 4: Simplify right side
    1,600.45x = 1,345,764.42
  5. Step 5: Solve for x
    x = 1,345,764.42/1,600.45
  6. Step 6: Final answer
    x = 840.87

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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.