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Finding the Fourth Proportional to 459.73, 689.74 and 185.97

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Solution

The fourth proportional to 459.73, 689.74 and 185.97 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.74 = 185.97 : x
  2. Step 2: Convert to fraction form
    459.73/689.74 = 185.97/x
  3. Step 3: Cross multiply
    459.73x = 689.74 × 185.97
  4. Step 4: Simplify right side
    459.73x = 128,271.65
  5. Step 5: Solve for x
    x = 128,271.65/459.73
  6. Step 6: Final answer
    x = 279.02

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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.