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Finding the Fourth Proportional to 569.28, 785.72 and 336.48

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Solution

The fourth proportional to 569.28, 785.72 and 336.48 is: 464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 785.72 = 336.48 : x
  2. Step 2: Convert to fraction form
    569.28/785.72 = 336.48/x
  3. Step 3: Cross multiply
    569.28x = 785.72 × 336.48
  4. Step 4: Simplify right side
    569.28x = 264,379.07
  5. Step 5: Solve for x
    x = 264,379.07/569.28
  6. Step 6: Final answer
    x = 464.41

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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.