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Finding the Fourth Proportional to 651.29, 976.75 and 286

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Solution

The fourth proportional to 651.29, 976.75 and 286 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 976.75 = 286 : x
  2. Step 2: Convert to fraction form
    651.29/976.75 = 286/x
  3. Step 3: Cross multiply
    651.29x = 976.75 × 286
  4. Step 4: Simplify right side
    651.29x = 279,350.50
  5. Step 5: Solve for x
    x = 279,350.50/651.29
  6. Step 6: Final answer
    x = 428.92

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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.