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Finding the Fourth Proportional to 483.84, 722.16 and 422.28

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Solution

The fourth proportional to 483.84, 722.16 and 422.28 is: 630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 722.16 = 422.28 : x
  2. Step 2: Convert to fraction form
    483.84/722.16 = 422.28/x
  3. Step 3: Cross multiply
    483.84x = 722.16 × 422.28
  4. Step 4: Simplify right side
    483.84x = 304,953.72
  5. Step 5: Solve for x
    x = 304,953.72/483.84
  6. Step 6: Final answer
    x = 630.28

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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.