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Finding the Fourth Proportional to 651.22, 976.86 and 459.70

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Solution

The fourth proportional to 651.22, 976.86 and 459.70 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.22 : 976.86 = 459.70 : x
  2. Step 2: Convert to fraction form
    651.22/976.86 = 459.70/x
  3. Step 3: Cross multiply
    651.22x = 976.86 × 459.70
  4. Step 4: Simplify right side
    651.22x = 449,062.54
  5. Step 5: Solve for x
    x = 449,062.54/651.22
  6. Step 6: Final answer
    x = 689.57

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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.