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Finding the Fourth Proportional to 610.01, 841.82 and 330.25

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Solution

The fourth proportional to 610.01, 841.82 and 330.25 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.01 : 841.82 = 330.25 : x
  2. Step 2: Convert to fraction form
    610.01/841.82 = 330.25/x
  3. Step 3: Cross multiply
    610.01x = 841.82 × 330.25
  4. Step 4: Simplify right side
    610.01x = 278,007.30
  5. Step 5: Solve for x
    x = 278,007.30/610.01
  6. Step 6: Final answer
    x = 455.74

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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.