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Finding the Fourth Proportional to 727.76, 1,090.02 and 628.94

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Solution

The fourth proportional to 727.76, 1,090.02 and 628.94 is: 942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,090.02 = 628.94 : x
  2. Step 2: Convert to fraction form
    727.76/1,090.02 = 628.94/x
  3. Step 3: Cross multiply
    727.76x = 1,090.02 × 628.94
  4. Step 4: Simplify right side
    727.76x = 685,557.18
  5. Step 5: Solve for x
    x = 685,557.18/727.76
  6. Step 6: Final answer
    x = 942.01

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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.