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Finding the Fourth Proportional to 479.88, 716.13 and 402.12

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Solution

The fourth proportional to 479.88, 716.13 and 402.12 is: 600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.88 : 716.13 = 402.12 : x
  2. Step 2: Convert to fraction form
    479.88/716.13 = 402.12/x
  3. Step 3: Cross multiply
    479.88x = 716.13 × 402.12
  4. Step 4: Simplify right side
    479.88x = 287,970.20
  5. Step 5: Solve for x
    x = 287,970.20/479.88
  6. Step 6: Final answer
    x = 600.09

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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.