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Finding the Fourth Proportional to 1,562.25, 2,343.51 and 408

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Solution

The fourth proportional to 1,562.25, 2,343.51 and 408 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.25 : 2,343.51 = 408 : x
  2. Step 2: Convert to fraction form
    1,562.25/2,343.51 = 408/x
  3. Step 3: Cross multiply
    1,562.25x = 2,343.51 × 408
  4. Step 4: Simplify right side
    1,562.25x = 956,152.08
  5. Step 5: Solve for x
    x = 956,152.08/1,562.25
  6. Step 6: Final answer
    x = 612.04

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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.