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Finding the Fourth Proportional to 651.24, 976.59 and 285.89

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Solution

The fourth proportional to 651.24, 976.59 and 285.89 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.59 = 285.89 : x
  2. Step 2: Convert to fraction form
    651.24/976.59 = 285.89/x
  3. Step 3: Cross multiply
    651.24x = 976.59 × 285.89
  4. Step 4: Simplify right side
    651.24x = 279,192.43
  5. Step 5: Solve for x
    x = 279,192.43/651.24
  6. Step 6: Final answer
    x = 428.71

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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.