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Finding the Fourth Proportional to 569.91, 786.26 and 359.72

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Solution

The fourth proportional to 569.91, 786.26 and 359.72 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 786.26 = 359.72 : x
  2. Step 2: Convert to fraction form
    569.91/786.26 = 359.72/x
  3. Step 3: Cross multiply
    569.91x = 786.26 × 359.72
  4. Step 4: Simplify right side
    569.91x = 282,835.81
  5. Step 5: Solve for x
    x = 282,835.81/569.91
  6. Step 6: Final answer
    x = 496.28

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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.