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Finding the Fourth Proportional to 469.08, 699.53 and 441.54

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Solution

The fourth proportional to 469.08, 699.53 and 441.54 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 699.53 = 441.54 : x
  2. Step 2: Convert to fraction form
    469.08/699.53 = 441.54/x
  3. Step 3: Cross multiply
    469.08x = 699.53 × 441.54
  4. Step 4: Simplify right side
    469.08x = 308,868.27
  5. Step 5: Solve for x
    x = 308,868.27/469.08
  6. Step 6: Final answer
    x = 658.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.