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Finding the Fourth Proportional to 469.32, 699.17 and 441.42

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Solution

The fourth proportional to 469.32, 699.17 and 441.42 is: 657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 699.17 = 441.42 : x
  2. Step 2: Convert to fraction form
    469.32/699.17 = 441.42/x
  3. Step 3: Cross multiply
    469.32x = 699.17 × 441.42
  4. Step 4: Simplify right side
    469.32x = 308,625.41
  5. Step 5: Solve for x
    x = 308,625.41/469.32
  6. Step 6: Final answer
    x = 657.60

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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.