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Finding the Fourth Proportional to 569.38, 786.51 and 422.77

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Solution

The fourth proportional to 569.38, 786.51 and 422.77 is: 583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 786.51 = 422.77 : x
  2. Step 2: Convert to fraction form
    569.38/786.51 = 422.77/x
  3. Step 3: Cross multiply
    569.38x = 786.51 × 422.77
  4. Step 4: Simplify right side
    569.38x = 332,512.83
  5. Step 5: Solve for x
    x = 332,512.83/569.38
  6. Step 6: Final answer
    x = 583.99

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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.