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Finding the Fourth Proportional to 505.77, 697.55 and 427.27

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Solution

The fourth proportional to 505.77, 697.55 and 427.27 is: 589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 697.55 = 427.27 : x
  2. Step 2: Convert to fraction form
    505.77/697.55 = 427.27/x
  3. Step 3: Cross multiply
    505.77x = 697.55 × 427.27
  4. Step 4: Simplify right side
    505.77x = 298,040.05
  5. Step 5: Solve for x
    x = 298,040.05/505.77
  6. Step 6: Final answer
    x = 589.28

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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.