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Finding the Fourth Proportional to 610.53, 842.31 and 389.58

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Solution

The fourth proportional to 610.53, 842.31 and 389.58 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 842.31 = 389.58 : x
  2. Step 2: Convert to fraction form
    610.53/842.31 = 389.58/x
  3. Step 3: Cross multiply
    610.53x = 842.31 × 389.58
  4. Step 4: Simplify right side
    610.53x = 328,147.13
  5. Step 5: Solve for x
    x = 328,147.13/610.53
  6. Step 6: Final answer
    x = 537.48

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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.