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Finding the Fourth Proportional to 500.31, 750.47 and 285.39

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Solution

The fourth proportional to 500.31, 750.47 and 285.39 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.31 : 750.47 = 285.39 : x
  2. Step 2: Convert to fraction form
    500.31/750.47 = 285.39/x
  3. Step 3: Cross multiply
    500.31x = 750.47 × 285.39
  4. Step 4: Simplify right side
    500.31x = 214,175.21
  5. Step 5: Solve for x
    x = 214,175.21/500.31
  6. Step 6: Final answer
    x = 428.09

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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.