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Finding the Fourth Proportional to 612.57, 843.39 and 534.90

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Solution

The fourth proportional to 612.57, 843.39 and 534.90 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.57 : 843.39 = 534.90 : x
  2. Step 2: Convert to fraction form
    612.57/843.39 = 534.90/x
  3. Step 3: Cross multiply
    612.57x = 843.39 × 534.90
  4. Step 4: Simplify right side
    612.57x = 451,129.31
  5. Step 5: Solve for x
    x = 451,129.31/612.57
  6. Step 6: Final answer
    x = 736.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.