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Finding the Fourth Proportional to 479.71, 719.16 and 284.50

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Solution

The fourth proportional to 479.71, 719.16 and 284.50 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.71 : 719.16 = 284.50 : x
  2. Step 2: Convert to fraction form
    479.71/719.16 = 284.50/x
  3. Step 3: Cross multiply
    479.71x = 719.16 × 284.50
  4. Step 4: Simplify right side
    479.71x = 204,601.02
  5. Step 5: Solve for x
    x = 204,601.02/479.71
  6. Step 6: Final answer
    x = 426.51

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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.