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Finding the Fourth Proportional to 505.53, 698.36 and 401.31

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Solution

The fourth proportional to 505.53, 698.36 and 401.31 is: 554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 698.36 = 401.31 : x
  2. Step 2: Convert to fraction form
    505.53/698.36 = 401.31/x
  3. Step 3: Cross multiply
    505.53x = 698.36 × 401.31
  4. Step 4: Simplify right side
    505.53x = 280,256.85
  5. Step 5: Solve for x
    x = 280,256.85/505.53
  6. Step 6: Final answer
    x = 554.38

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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.