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Finding the Fourth Proportional to 468.42, 650.64 and 460.97

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Solution

The fourth proportional to 468.42, 650.64 and 460.97 is: 640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 650.64 = 460.97 : x
  2. Step 2: Convert to fraction form
    468.42/650.64 = 460.97/x
  3. Step 3: Cross multiply
    468.42x = 650.64 × 460.97
  4. Step 4: Simplify right side
    468.42x = 299,925.52
  5. Step 5: Solve for x
    x = 299,925.52/468.42
  6. Step 6: Final answer
    x = 640.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.