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Finding the Fourth Proportional to 507.56, 761.54 and 160.94

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Solution

The fourth proportional to 507.56, 761.54 and 160.94 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.56 : 761.54 = 160.94 : x
  2. Step 2: Convert to fraction form
    507.56/761.54 = 160.94/x
  3. Step 3: Cross multiply
    507.56x = 761.54 × 160.94
  4. Step 4: Simplify right side
    507.56x = 122,563.35
  5. Step 5: Solve for x
    x = 122,563.35/507.56
  6. Step 6: Final answer
    x = 241.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.