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Finding the Fourth Proportional to 467.63, 649.56 and 460.19

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Solution

The fourth proportional to 467.63, 649.56 and 460.19 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.63 : 649.56 = 460.19 : x
  2. Step 2: Convert to fraction form
    467.63/649.56 = 460.19/x
  3. Step 3: Cross multiply
    467.63x = 649.56 × 460.19
  4. Step 4: Simplify right side
    467.63x = 298,921.02
  5. Step 5: Solve for x
    x = 298,921.02/467.63
  6. Step 6: Final answer
    x = 639.23

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1.5x scale

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.