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Finding the Fourth Proportional to 569.26, 785.56 and 320.54

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Solution

The fourth proportional to 569.26, 785.56 and 320.54 is: 442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 785.56 = 320.54 : x
  2. Step 2: Convert to fraction form
    569.26/785.56 = 320.54/x
  3. Step 3: Cross multiply
    569.26x = 785.56 × 320.54
  4. Step 4: Simplify right side
    569.26x = 251,803.40
  5. Step 5: Solve for x
    x = 251,803.40/569.26
  6. Step 6: Final answer
    x = 442.33

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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.