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Finding the Fourth Proportional to 506.48, 760.53 and 383.09

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Solution

The fourth proportional to 506.48, 760.53 and 383.09 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 760.53 = 383.09 : x
  2. Step 2: Convert to fraction form
    506.48/760.53 = 383.09/x
  3. Step 3: Cross multiply
    506.48x = 760.53 × 383.09
  4. Step 4: Simplify right side
    506.48x = 291,351.44
  5. Step 5: Solve for x
    x = 291,351.44/506.48
  6. Step 6: Final answer
    x = 575.25

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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.