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Finding the Fourth Proportional to 651.55, 976.64 and 446.07

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Solution

The fourth proportional to 651.55, 976.64 and 446.07 is: 668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.55 : 976.64 = 446.07 : x
  2. Step 2: Convert to fraction form
    651.55/976.64 = 446.07/x
  3. Step 3: Cross multiply
    651.55x = 976.64 × 446.07
  4. Step 4: Simplify right side
    651.55x = 435,649.80
  5. Step 5: Solve for x
    x = 435,649.80/651.55
  6. Step 6: Final answer
    x = 668.64

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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.