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Finding the Fourth Proportional to 569.39, 786.12 and 359.65

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Solution

The fourth proportional to 569.39, 786.12 and 359.65 is: 496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 786.12 = 359.65 : x
  2. Step 2: Convert to fraction form
    569.39/786.12 = 359.65/x
  3. Step 3: Cross multiply
    569.39x = 786.12 × 359.65
  4. Step 4: Simplify right side
    569.39x = 282,724.13
  5. Step 5: Solve for x
    x = 282,724.13/569.39
  6. Step 6: Final answer
    x = 496.54

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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.