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Finding the Fourth Proportional to 483.88, 722.08 and 406.12

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Solution

The fourth proportional to 483.88, 722.08 and 406.12 is: 606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 722.08 = 406.12 : x
  2. Step 2: Convert to fraction form
    483.88/722.08 = 406.12/x
  3. Step 3: Cross multiply
    483.88x = 722.08 × 406.12
  4. Step 4: Simplify right side
    483.88x = 293,251.13
  5. Step 5: Solve for x
    x = 293,251.13/483.88
  6. Step 6: Final answer
    x = 606.04

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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.