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Finding the Fourth Proportional to 478.04, 713.74 and 422.84

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Solution

The fourth proportional to 478.04, 713.74 and 422.84 is: 631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 713.74 = 422.84 : x
  2. Step 2: Convert to fraction form
    478.04/713.74 = 422.84/x
  3. Step 3: Cross multiply
    478.04x = 713.74 × 422.84
  4. Step 4: Simplify right side
    478.04x = 301,797.82
  5. Step 5: Solve for x
    x = 301,797.82/478.04
  6. Step 6: Final answer
    x = 631.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.