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Finding the Fourth Proportional to 3,059.75, 4,590.34 and 979.90

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Solution

The fourth proportional to 3,059.75, 4,590.34 and 979.90 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.75 : 4,590.34 = 979.90 : x
  2. Step 2: Convert to fraction form
    3,059.75/4,590.34 = 979.90/x
  3. Step 3: Cross multiply
    3,059.75x = 4,590.34 × 979.90
  4. Step 4: Simplify right side
    3,059.75x = 4,498,060.24
  5. Step 5: Solve for x
    x = 4,498,060.24/3,059.75
  6. Step 6: Final answer
    x = 1,470.07

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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.