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Finding the Fourth Proportional to 508.16, 700.82 and 331.05

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Solution

The fourth proportional to 508.16, 700.82 and 331.05 is: 456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 700.82 = 331.05 : x
  2. Step 2: Convert to fraction form
    508.16/700.82 = 331.05/x
  3. Step 3: Cross multiply
    508.16x = 700.82 × 331.05
  4. Step 4: Simplify right side
    508.16x = 232,010.57
  5. Step 5: Solve for x
    x = 232,010.57/508.16
  6. Step 6: Final answer
    x = 456.57

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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.