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Finding the Fourth Proportional to 1,845.79, 2,768.99 and 613.47

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Solution

The fourth proportional to 1,845.79, 2,768.99 and 613.47 is: 920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.79 : 2,768.99 = 613.47 : x
  2. Step 2: Convert to fraction form
    1,845.79/2,768.99 = 613.47/x
  3. Step 3: Cross multiply
    1,845.79x = 2,768.99 × 613.47
  4. Step 4: Simplify right side
    1,845.79x = 1,698,699.61
  5. Step 5: Solve for x
    x = 1,698,699.61/1,845.79
  6. Step 6: Final answer
    x = 920.31

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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.