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Finding the Fourth Proportional to 569.13, 785.04 and 344.96

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Solution

The fourth proportional to 569.13, 785.04 and 344.96 is: 475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 785.04 = 344.96 : x
  2. Step 2: Convert to fraction form
    569.13/785.04 = 344.96/x
  3. Step 3: Cross multiply
    569.13x = 785.04 × 344.96
  4. Step 4: Simplify right side
    569.13x = 270,807.06
  5. Step 5: Solve for x
    x = 270,807.06/569.13
  6. Step 6: Final answer
    x = 475.83

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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.