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Finding the Fourth Proportional to 610.65, 842.80 and 389.68

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Solution

The fourth proportional to 610.65, 842.80 and 389.68 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 842.80 = 389.68 : x
  2. Step 2: Convert to fraction form
    610.65/842.80 = 389.68/x
  3. Step 3: Cross multiply
    610.65x = 842.80 × 389.68
  4. Step 4: Simplify right side
    610.65x = 328,422.30
  5. Step 5: Solve for x
    x = 328,422.30/610.65
  6. Step 6: Final answer
    x = 537.82

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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.