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Finding the Fourth Proportional to 569, 785.25 and 336.20

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Solution

The fourth proportional to 569, 785.25 and 336.20 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 785.25 = 336.20 : x
  2. Step 2: Convert to fraction form
    569/785.25 = 336.20/x
  3. Step 3: Cross multiply
    569x = 785.25 × 336.20
  4. Step 4: Simplify right side
    569x = 264,001.05
  5. Step 5: Solve for x
    x = 264,001.05/569
  6. Step 6: Final answer
    x = 463.97

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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.