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Finding the Fourth Proportional to 459.85, 689.78 and 378.52

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Solution

The fourth proportional to 459.85, 689.78 and 378.52 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.85 : 689.78 = 378.52 : x
  2. Step 2: Convert to fraction form
    459.85/689.78 = 378.52/x
  3. Step 3: Cross multiply
    459.85x = 689.78 × 378.52
  4. Step 4: Simplify right side
    459.85x = 261,093.63
  5. Step 5: Solve for x
    x = 261,093.63/459.85
  6. Step 6: Final answer
    x = 567.78

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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.