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Finding the Fourth Proportional to 505.24, 697.40 and 295.48

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Solution

The fourth proportional to 505.24, 697.40 and 295.48 is: 407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 697.40 = 295.48 : x
  2. Step 2: Convert to fraction form
    505.24/697.40 = 295.48/x
  3. Step 3: Cross multiply
    505.24x = 697.40 × 295.48
  4. Step 4: Simplify right side
    505.24x = 206,067.75
  5. Step 5: Solve for x
    x = 206,067.75/505.24
  6. Step 6: Final answer
    x = 407.86

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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.