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Finding the Fourth Proportional to 500.93, 749.31 and 384.09

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Solution

The fourth proportional to 500.93, 749.31 and 384.09 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.93 : 749.31 = 384.09 : x
  2. Step 2: Convert to fraction form
    500.93/749.31 = 384.09/x
  3. Step 3: Cross multiply
    500.93x = 749.31 × 384.09
  4. Step 4: Simplify right side
    500.93x = 287,802.48
  5. Step 5: Solve for x
    x = 287,802.48/500.93
  6. Step 6: Final answer
    x = 574.54

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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.