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Finding the Fourth Proportional to 777.42, 1,070.90 and 580.60

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Solution

The fourth proportional to 777.42, 1,070.90 and 580.60 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.42 : 1,070.90 = 580.60 : x
  2. Step 2: Convert to fraction form
    777.42/1,070.90 = 580.60/x
  3. Step 3: Cross multiply
    777.42x = 1,070.90 × 580.60
  4. Step 4: Simplify right side
    777.42x = 621,764.54
  5. Step 5: Solve for x
    x = 621,764.54/777.42
  6. Step 6: Final answer
    x = 799.78

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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.