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Finding the Fourth Proportional to 464.43, 640.00 and 458.69

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Solution

The fourth proportional to 464.43, 640.00 and 458.69 is: 632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 640.00 = 458.69 : x
  2. Step 2: Convert to fraction form
    464.43/640.00 = 458.69/x
  3. Step 3: Cross multiply
    464.43x = 640.00 × 458.69
  4. Step 4: Simplify right side
    464.43x = 293,558.97
  5. Step 5: Solve for x
    x = 293,558.97/464.43
  6. Step 6: Final answer
    x = 632.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.