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Finding the Fourth Proportional to 764.94, 1,056.03 and 576.94

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Solution

The fourth proportional to 764.94, 1,056.03 and 576.94 is: 796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.94 : 1,056.03 = 576.94 : x
  2. Step 2: Convert to fraction form
    764.94/1,056.03 = 576.94/x
  3. Step 3: Cross multiply
    764.94x = 1,056.03 × 576.94
  4. Step 4: Simplify right side
    764.94x = 609,265.95
  5. Step 5: Solve for x
    x = 609,265.95/764.94
  6. Step 6: Final answer
    x = 796.49

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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.