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Finding the Fourth Proportional to 569.56, 786.03 and 320.90

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Solution

The fourth proportional to 569.56, 786.03 and 320.90 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.56 : 786.03 = 320.90 : x
  2. Step 2: Convert to fraction form
    569.56/786.03 = 320.90/x
  3. Step 3: Cross multiply
    569.56x = 786.03 × 320.90
  4. Step 4: Simplify right side
    569.56x = 252,237.03
  5. Step 5: Solve for x
    x = 252,237.03/569.56
  6. Step 6: Final answer
    x = 442.86

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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.