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Finding the Fourth Proportional to 610.91, 842.49 and 389.48

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Solution

The fourth proportional to 610.91, 842.49 and 389.48 is: 537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.91 : 842.49 = 389.48 : x
  2. Step 2: Convert to fraction form
    610.91/842.49 = 389.48/x
  3. Step 3: Cross multiply
    610.91x = 842.49 × 389.48
  4. Step 4: Simplify right side
    610.91x = 328,130.49
  5. Step 5: Solve for x
    x = 328,130.49/610.91
  6. Step 6: Final answer
    x = 537.12

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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.