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Finding the Fourth Proportional to 1,562.59, 2,343.70 and 408.43

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Solution

The fourth proportional to 1,562.59, 2,343.70 and 408.43 is: 612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.59 : 2,343.70 = 408.43 : x
  2. Step 2: Convert to fraction form
    1,562.59/2,343.70 = 408.43/x
  3. Step 3: Cross multiply
    1,562.59x = 2,343.70 × 408.43
  4. Step 4: Simplify right side
    1,562.59x = 957,237.39
  5. Step 5: Solve for x
    x = 957,237.39/1,562.59
  6. Step 6: Final answer
    x = 612.60

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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.