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Finding the Fourth Proportional to 465.56, 694.30 and 459.36

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Solution

The fourth proportional to 465.56, 694.30 and 459.36 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 694.30 = 459.36 : x
  2. Step 2: Convert to fraction form
    465.56/694.30 = 459.36/x
  3. Step 3: Cross multiply
    465.56x = 694.30 × 459.36
  4. Step 4: Simplify right side
    465.56x = 318,933.65
  5. Step 5: Solve for x
    x = 318,933.65/465.56
  6. Step 6: Final answer
    x = 685.05

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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.