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Finding the Fourth Proportional to 651.43, 976.74 and 304.56

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Solution

The fourth proportional to 651.43, 976.74 and 304.56 is: 456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.43 : 976.74 = 304.56 : x
  2. Step 2: Convert to fraction form
    651.43/976.74 = 304.56/x
  3. Step 3: Cross multiply
    651.43x = 976.74 × 304.56
  4. Step 4: Simplify right side
    651.43x = 297,475.93
  5. Step 5: Solve for x
    x = 297,475.93/651.43
  6. Step 6: Final answer
    x = 456.65

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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.