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Finding the Fourth Proportional to 612.10, 844.08 and 523.87

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Solution

The fourth proportional to 612.10, 844.08 and 523.87 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.10 : 844.08 = 523.87 : x
  2. Step 2: Convert to fraction form
    612.10/844.08 = 523.87/x
  3. Step 3: Cross multiply
    612.10x = 844.08 × 523.87
  4. Step 4: Simplify right side
    612.10x = 442,189.39
  5. Step 5: Solve for x
    x = 442,189.39/612.10
  6. Step 6: Final answer
    x = 722.41

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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.