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Finding the Fourth Proportional to 1,830.78, 2,746 and 514.42

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Solution

The fourth proportional to 1,830.78, 2,746 and 514.42 is: 771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.78 : 2,746 = 514.42 : x
  2. Step 2: Convert to fraction form
    1,830.78/2,746 = 514.42/x
  3. Step 3: Cross multiply
    1,830.78x = 2,746 × 514.42
  4. Step 4: Simplify right side
    1,830.78x = 1,412,597.32
  5. Step 5: Solve for x
    x = 1,412,597.32/1,830.78
  6. Step 6: Final answer
    x = 771.58

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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.