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Finding the Fourth Proportional to 479.88, 722.28 and 409.40

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Solution

The fourth proportional to 479.88, 722.28 and 409.40 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.88 : 722.28 = 409.40 : x
  2. Step 2: Convert to fraction form
    479.88/722.28 = 409.40/x
  3. Step 3: Cross multiply
    479.88x = 722.28 × 409.40
  4. Step 4: Simplify right side
    479.88x = 295,701.43
  5. Step 5: Solve for x
    x = 295,701.43/479.88
  6. Step 6: Final answer
    x = 616.20

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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.