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Finding the Fourth Proportional to 479.58, 719.10 and 259.95

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Solution

The fourth proportional to 479.58, 719.10 and 259.95 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.58 : 719.10 = 259.95 : x
  2. Step 2: Convert to fraction form
    479.58/719.10 = 259.95/x
  3. Step 3: Cross multiply
    479.58x = 719.10 × 259.95
  4. Step 4: Simplify right side
    479.58x = 186,930.05
  5. Step 5: Solve for x
    x = 186,930.05/479.58
  6. Step 6: Final answer
    x = 389.78

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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.