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Finding the Fourth Proportional to 459.50, 684.81 and 455.67

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Solution

The fourth proportional to 459.50, 684.81 and 455.67 is: 679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 684.81 = 455.67 : x
  2. Step 2: Convert to fraction form
    459.50/684.81 = 455.67/x
  3. Step 3: Cross multiply
    459.50x = 684.81 × 455.67
  4. Step 4: Simplify right side
    459.50x = 312,047.37
  5. Step 5: Solve for x
    x = 312,047.37/459.50
  6. Step 6: Final answer
    x = 679.11

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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.