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Finding the Fourth Proportional to 651.18, 976.74 and 455.62

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Solution

The fourth proportional to 651.18, 976.74 and 455.62 is: 683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.18 : 976.74 = 455.62 : x
  2. Step 2: Convert to fraction form
    651.18/976.74 = 455.62/x
  3. Step 3: Cross multiply
    651.18x = 976.74 × 455.62
  4. Step 4: Simplify right side
    651.18x = 445,022.28
  5. Step 5: Solve for x
    x = 445,022.28/651.18
  6. Step 6: Final answer
    x = 683.41

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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.