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Finding the Fourth Proportional to 459.07, 685.77 and 367.94

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Solution

The fourth proportional to 459.07, 685.77 and 367.94 is: 549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.07 : 685.77 = 367.94 : x
  2. Step 2: Convert to fraction form
    459.07/685.77 = 367.94/x
  3. Step 3: Cross multiply
    459.07x = 685.77 × 367.94
  4. Step 4: Simplify right side
    459.07x = 252,322.55
  5. Step 5: Solve for x
    x = 252,322.55/459.07
  6. Step 6: Final answer
    x = 549.64

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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.