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Finding the Fourth Proportional to 612.64, 838.82 and 610.48

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Solution

The fourth proportional to 612.64, 838.82 and 610.48 is: 835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.64 : 838.82 = 610.48 : x
  2. Step 2: Convert to fraction form
    612.64/838.82 = 610.48/x
  3. Step 3: Cross multiply
    612.64x = 838.82 × 610.48
  4. Step 4: Simplify right side
    612.64x = 512,082.83
  5. Step 5: Solve for x
    x = 512,082.83/612.64
  6. Step 6: Final answer
    x = 835.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.