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Finding the Fourth Proportional to 569.05, 784.90 and 336.04

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Solution

The fourth proportional to 569.05, 784.90 and 336.04 is: 463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 784.90 = 336.04 : x
  2. Step 2: Convert to fraction form
    569.05/784.90 = 336.04/x
  3. Step 3: Cross multiply
    569.05x = 784.90 × 336.04
  4. Step 4: Simplify right side
    569.05x = 263,757.80
  5. Step 5: Solve for x
    x = 263,757.80/569.05
  6. Step 6: Final answer
    x = 463.51

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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.