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Finding the Fourth Proportional to 459.75, 689.40 and 185.79

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Solution

The fourth proportional to 459.75, 689.40 and 185.79 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.40 = 185.79 : x
  2. Step 2: Convert to fraction form
    459.75/689.40 = 185.79/x
  3. Step 3: Cross multiply
    459.75x = 689.40 × 185.79
  4. Step 4: Simplify right side
    459.75x = 128,083.63
  5. Step 5: Solve for x
    x = 128,083.63/459.75
  6. Step 6: Final answer
    x = 278.59

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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.