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Finding the Fourth Proportional to 508.26, 700.61 and 331.18

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Solution

The fourth proportional to 508.26, 700.61 and 331.18 is: 456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.26 : 700.61 = 331.18 : x
  2. Step 2: Convert to fraction form
    508.26/700.61 = 331.18/x
  3. Step 3: Cross multiply
    508.26x = 700.61 × 331.18
  4. Step 4: Simplify right side
    508.26x = 232,028.02
  5. Step 5: Solve for x
    x = 232,028.02/508.26
  6. Step 6: Final answer
    x = 456.51

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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.