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Finding the Fourth Proportional to 569.21, 785.46 and 359.39

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Solution

The fourth proportional to 569.21, 785.46 and 359.39 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.21 : 785.46 = 359.39 : x
  2. Step 2: Convert to fraction form
    569.21/785.46 = 359.39/x
  3. Step 3: Cross multiply
    569.21x = 785.46 × 359.39
  4. Step 4: Simplify right side
    569.21x = 282,286.47
  5. Step 5: Solve for x
    x = 282,286.47/569.21
  6. Step 6: Final answer
    x = 495.93

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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.