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Finding the Fourth Proportional to 610.45, 839.91 and 511.63

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Solution

The fourth proportional to 610.45, 839.91 and 511.63 is: 703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.45 : 839.91 = 511.63 : x
  2. Step 2: Convert to fraction form
    610.45/839.91 = 511.63/x
  3. Step 3: Cross multiply
    610.45x = 839.91 × 511.63
  4. Step 4: Simplify right side
    610.45x = 429,723.15
  5. Step 5: Solve for x
    x = 429,723.15/610.45
  6. Step 6: Final answer
    x = 703.94

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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.