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Finding the Fourth Proportional to 777.21, 1,077.06 and 762.63

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Solution

The fourth proportional to 777.21, 1,077.06 and 762.63 is: 1,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.21 : 1,077.06 = 762.63 : x
  2. Step 2: Convert to fraction form
    777.21/1,077.06 = 762.63/x
  3. Step 3: Cross multiply
    777.21x = 1,077.06 × 762.63
  4. Step 4: Simplify right side
    777.21x = 821,398.27
  5. Step 5: Solve for x
    x = 821,398.27/777.21
  6. Step 6: Final answer
    x = 1,056.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.