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Finding the Fourth Proportional to 479.71, 723.55 and 422.64

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Solution

The fourth proportional to 479.71, 723.55 and 422.64 is: 637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.71 : 723.55 = 422.64 : x
  2. Step 2: Convert to fraction form
    479.71/723.55 = 422.64/x
  3. Step 3: Cross multiply
    479.71x = 723.55 × 422.64
  4. Step 4: Simplify right side
    479.71x = 305,802.83
  5. Step 5: Solve for x
    x = 305,802.83/479.71
  6. Step 6: Final answer
    x = 637.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.