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Finding the Fourth Proportional to 505.42, 697.72 and 349.90

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Solution

The fourth proportional to 505.42, 697.72 and 349.90 is: 483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 697.72 = 349.90 : x
  2. Step 2: Convert to fraction form
    505.42/697.72 = 349.90/x
  3. Step 3: Cross multiply
    505.42x = 697.72 × 349.90
  4. Step 4: Simplify right side
    505.42x = 244,132.23
  5. Step 5: Solve for x
    x = 244,132.23/505.42
  6. Step 6: Final answer
    x = 483.03

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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.