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Finding the Fourth Proportional to 578.71, 798.95 and 382.79

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Solution

The fourth proportional to 578.71, 798.95 and 382.79 is: 528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 798.95 = 382.79 : x
  2. Step 2: Convert to fraction form
    578.71/798.95 = 382.79/x
  3. Step 3: Cross multiply
    578.71x = 798.95 × 382.79
  4. Step 4: Simplify right side
    578.71x = 305,830.07
  5. Step 5: Solve for x
    x = 305,830.07/578.71
  6. Step 6: Final answer
    x = 528.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.