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Finding the Fourth Proportional to 459.69, 689.41 and 185.70

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Solution

The fourth proportional to 459.69, 689.41 and 185.70 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.69 : 689.41 = 185.70 : x
  2. Step 2: Convert to fraction form
    459.69/689.41 = 185.70/x
  3. Step 3: Cross multiply
    459.69x = 689.41 × 185.70
  4. Step 4: Simplify right side
    459.69x = 128,023.44
  5. Step 5: Solve for x
    x = 128,023.44/459.69
  6. Step 6: Final answer
    x = 278.50

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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.