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Finding the Fourth Proportional to 610.62, 841.92 and 389.22

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Solution

The fourth proportional to 610.62, 841.92 and 389.22 is: 536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.62 : 841.92 = 389.22 : x
  2. Step 2: Convert to fraction form
    610.62/841.92 = 389.22/x
  3. Step 3: Cross multiply
    610.62x = 841.92 × 389.22
  4. Step 4: Simplify right side
    610.62x = 327,692.10
  5. Step 5: Solve for x
    x = 327,692.10/610.62
  6. Step 6: Final answer
    x = 536.65

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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.