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Finding the Fourth Proportional to 578.14, 798.31 and 368.69

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Solution

The fourth proportional to 578.14, 798.31 and 368.69 is: 509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 798.31 = 368.69 : x
  2. Step 2: Convert to fraction form
    578.14/798.31 = 368.69/x
  3. Step 3: Cross multiply
    578.14x = 798.31 × 368.69
  4. Step 4: Simplify right side
    578.14x = 294,325.38
  5. Step 5: Solve for x
    x = 294,325.38/578.14
  6. Step 6: Final answer
    x = 509.09

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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.