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Finding the Fourth Proportional to 1,057.74, 1,586.46 and 408.47

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Solution

The fourth proportional to 1,057.74, 1,586.46 and 408.47 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.74 : 1,586.46 = 408.47 : x
  2. Step 2: Convert to fraction form
    1,057.74/1,586.46 = 408.47/x
  3. Step 3: Cross multiply
    1,057.74x = 1,586.46 × 408.47
  4. Step 4: Simplify right side
    1,057.74x = 648,025.28
  5. Step 5: Solve for x
    x = 648,025.28/1,057.74
  6. Step 6: Final answer
    x = 612.65

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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.