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Finding the Fourth Proportional to 610.50, 842.77 and 389.75

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Solution

The fourth proportional to 610.50, 842.77 and 389.75 is: 538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 842.77 = 389.75 : x
  2. Step 2: Convert to fraction form
    610.50/842.77 = 389.75/x
  3. Step 3: Cross multiply
    610.50x = 842.77 × 389.75
  4. Step 4: Simplify right side
    610.50x = 328,469.61
  5. Step 5: Solve for x
    x = 328,469.61/610.50
  6. Step 6: Final answer
    x = 538.03

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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.