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Finding the Fourth Proportional to 459.56, 685.97 and 394.98

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Solution

The fourth proportional to 459.56, 685.97 and 394.98 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 685.97 = 394.98 : x
  2. Step 2: Convert to fraction form
    459.56/685.97 = 394.98/x
  3. Step 3: Cross multiply
    459.56x = 685.97 × 394.98
  4. Step 4: Simplify right side
    459.56x = 270,941.99
  5. Step 5: Solve for x
    x = 270,941.99/459.56
  6. Step 6: Final answer
    x = 589.57

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1.5x scale

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.