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Finding the Fourth Proportional to 1,322.78, 1,984.77 and 543.35

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Solution

The fourth proportional to 1,322.78, 1,984.77 and 543.35 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.78 : 1,984.77 = 543.35 : x
  2. Step 2: Convert to fraction form
    1,322.78/1,984.77 = 543.35/x
  3. Step 3: Cross multiply
    1,322.78x = 1,984.77 × 543.35
  4. Step 4: Simplify right side
    1,322.78x = 1,078,424.78
  5. Step 5: Solve for x
    x = 1,078,424.78/1,322.78
  6. Step 6: Final answer
    x = 815.27

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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.