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Finding the Fourth Proportional to 569.11, 785.37 and 320.43

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Solution

The fourth proportional to 569.11, 785.37 and 320.43 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 785.37 = 320.43 : x
  2. Step 2: Convert to fraction form
    569.11/785.37 = 320.43/x
  3. Step 3: Cross multiply
    569.11x = 785.37 × 320.43
  4. Step 4: Simplify right side
    569.11x = 251,656.11
  5. Step 5: Solve for x
    x = 251,656.11/569.11
  6. Step 6: Final answer
    x = 442.19

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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.