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Finding the Fourth Proportional to 578.14, 797.87 and 429.91

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Solution

The fourth proportional to 578.14, 797.87 and 429.91 is: 593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 797.87 = 429.91 : x
  2. Step 2: Convert to fraction form
    578.14/797.87 = 429.91/x
  3. Step 3: Cross multiply
    578.14x = 797.87 × 429.91
  4. Step 4: Simplify right side
    578.14x = 343,012.29
  5. Step 5: Solve for x
    x = 343,012.29/578.14
  6. Step 6: Final answer
    x = 593.30

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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.