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Finding the Fourth Proportional to 1,024.02, 1,536.91 and 408.16

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Solution

The fourth proportional to 1,024.02, 1,536.91 and 408.16 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,536.91 = 408.16 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,536.91 = 408.16/x
  3. Step 3: Cross multiply
    1,024.02x = 1,536.91 × 408.16
  4. Step 4: Simplify right side
    1,024.02x = 627,304.17
  5. Step 5: Solve for x
    x = 627,304.17/1,024.02
  6. Step 6: Final answer
    x = 612.59

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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.