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Finding the Fourth Proportional to 479.86, 719.93 and 274.80

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Solution

The fourth proportional to 479.86, 719.93 and 274.80 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.86 : 719.93 = 274.80 : x
  2. Step 2: Convert to fraction form
    479.86/719.93 = 274.80/x
  3. Step 3: Cross multiply
    479.86x = 719.93 × 274.80
  4. Step 4: Simplify right side
    479.86x = 197,836.76
  5. Step 5: Solve for x
    x = 197,836.76/479.86
  6. Step 6: Final answer
    x = 412.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.