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Finding the Fourth Proportional to 651.24, 976.32 and 285.76

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Solution

The fourth proportional to 651.24, 976.32 and 285.76 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.32 = 285.76 : x
  2. Step 2: Convert to fraction form
    651.24/976.32 = 285.76/x
  3. Step 3: Cross multiply
    651.24x = 976.32 × 285.76
  4. Step 4: Simplify right side
    651.24x = 278,994.42
  5. Step 5: Solve for x
    x = 278,994.42/651.24
  6. Step 6: Final answer
    x = 428.40

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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.