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Finding the Fourth Proportional to 578.01, 797.64 and 341.96

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Solution

The fourth proportional to 578.01, 797.64 and 341.96 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 797.64 = 341.96 : x
  2. Step 2: Convert to fraction form
    578.01/797.64 = 341.96/x
  3. Step 3: Cross multiply
    578.01x = 797.64 × 341.96
  4. Step 4: Simplify right side
    578.01x = 272,756.99
  5. Step 5: Solve for x
    x = 272,756.99/578.01
  6. Step 6: Final answer
    x = 471.89

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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.