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Finding the Fourth Proportional to 459.25, 689.42 and 383.11

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Solution

The fourth proportional to 459.25, 689.42 and 383.11 is: 575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 689.42 = 383.11 : x
  2. Step 2: Convert to fraction form
    459.25/689.42 = 383.11/x
  3. Step 3: Cross multiply
    459.25x = 689.42 × 383.11
  4. Step 4: Simplify right side
    459.25x = 264,121.78
  5. Step 5: Solve for x
    x = 264,121.78/459.25
  6. Step 6: Final answer
    x = 575.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.