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Finding the Fourth Proportional to 479.12, 661.59 and 463.64

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Solution

The fourth proportional to 479.12, 661.59 and 463.64 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.12 : 661.59 = 463.64 : x
  2. Step 2: Convert to fraction form
    479.12/661.59 = 463.64/x
  3. Step 3: Cross multiply
    479.12x = 661.59 × 463.64
  4. Step 4: Simplify right side
    479.12x = 306,739.59
  5. Step 5: Solve for x
    x = 306,739.59/479.12
  6. Step 6: Final answer
    x = 640.21

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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.