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Finding the Fourth Proportional to 507.84, 701.16 and 481.86

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Solution

The fourth proportional to 507.84, 701.16 and 481.86 is: 665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 701.16 = 481.86 : x
  2. Step 2: Convert to fraction form
    507.84/701.16 = 481.86/x
  3. Step 3: Cross multiply
    507.84x = 701.16 × 481.86
  4. Step 4: Simplify right side
    507.84x = 337,860.96
  5. Step 5: Solve for x
    x = 337,860.96/507.84
  6. Step 6: Final answer
    x = 665.29

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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.