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Finding the Fourth Proportional to 529.08, 796.38 and 478.80

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Solution

The fourth proportional to 529.08, 796.38 and 478.80 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.08 : 796.38 = 478.80 : x
  2. Step 2: Convert to fraction form
    529.08/796.38 = 478.80/x
  3. Step 3: Cross multiply
    529.08x = 796.38 × 478.80
  4. Step 4: Simplify right side
    529.08x = 381,306.74
  5. Step 5: Solve for x
    x = 381,306.74/529.08
  6. Step 6: Final answer
    x = 720.70

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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.