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Finding the Fourth Proportional to 507.72, 701.12 and 480.44

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Solution

The fourth proportional to 507.72, 701.12 and 480.44 is: 663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 701.12 = 480.44 : x
  2. Step 2: Convert to fraction form
    507.72/701.12 = 480.44/x
  3. Step 3: Cross multiply
    507.72x = 701.12 × 480.44
  4. Step 4: Simplify right side
    507.72x = 336,846.09
  5. Step 5: Solve for x
    x = 336,846.09/507.72
  6. Step 6: Final answer
    x = 663.45

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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.