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Finding the Fourth Proportional to 477.92, 654.76 and 460.64

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Solution

The fourth proportional to 477.92, 654.76 and 460.64 is: 631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 654.76 = 460.64 : x
  2. Step 2: Convert to fraction form
    477.92/654.76 = 460.64/x
  3. Step 3: Cross multiply
    477.92x = 654.76 × 460.64
  4. Step 4: Simplify right side
    477.92x = 301,608.65
  5. Step 5: Solve for x
    x = 301,608.65/477.92
  6. Step 6: Final answer
    x = 631.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.