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Finding the Fourth Proportional to 569.77, 786.77 and 360.31

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Solution

The fourth proportional to 569.77, 786.77 and 360.31 is: 497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 786.77 = 360.31 : x
  2. Step 2: Convert to fraction form
    569.77/786.77 = 360.31/x
  3. Step 3: Cross multiply
    569.77x = 786.77 × 360.31
  4. Step 4: Simplify right side
    569.77x = 283,481.10
  5. Step 5: Solve for x
    x = 283,481.10/569.77
  6. Step 6: Final answer
    x = 497.54

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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.