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Finding the Fourth Proportional to 610.84, 842.60 and 389.71

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Solution

The fourth proportional to 610.84, 842.60 and 389.71 is: 537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 842.60 = 389.71 : x
  2. Step 2: Convert to fraction form
    610.84/842.60 = 389.71/x
  3. Step 3: Cross multiply
    610.84x = 842.60 × 389.71
  4. Step 4: Simplify right side
    610.84x = 328,371.67
  5. Step 5: Solve for x
    x = 328,371.67/610.84
  6. Step 6: Final answer
    x = 537.57

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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.