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Finding the Fourth Proportional to 777.63, 1,074.54 and 568.44

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Solution

The fourth proportional to 777.63, 1,074.54 and 568.44 is: 785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.63 : 1,074.54 = 568.44 : x
  2. Step 2: Convert to fraction form
    777.63/1,074.54 = 568.44/x
  3. Step 3: Cross multiply
    777.63x = 1,074.54 × 568.44
  4. Step 4: Simplify right side
    777.63x = 610,811.52
  5. Step 5: Solve for x
    x = 610,811.52/777.63
  6. Step 6: Final answer
    x = 785.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.