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Finding the Fourth Proportional to 505.59, 697.78 and 422.56

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Solution

The fourth proportional to 505.59, 697.78 and 422.56 is: 583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 697.78 = 422.56 : x
  2. Step 2: Convert to fraction form
    505.59/697.78 = 422.56/x
  3. Step 3: Cross multiply
    505.59x = 697.78 × 422.56
  4. Step 4: Simplify right side
    505.59x = 294,853.92
  5. Step 5: Solve for x
    x = 294,853.92/505.59
  6. Step 6: Final answer
    x = 583.19

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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.