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Finding the Fourth Proportional to 719.96, 1,077.75 and 394.34

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Solution

The fourth proportional to 719.96, 1,077.75 and 394.34 is: 590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 1,077.75 = 394.34 : x
  2. Step 2: Convert to fraction form
    719.96/1,077.75 = 394.34/x
  3. Step 3: Cross multiply
    719.96x = 1,077.75 × 394.34
  4. Step 4: Simplify right side
    719.96x = 424,994.55
  5. Step 5: Solve for x
    x = 424,994.55/719.96
  6. Step 6: Final answer
    x = 590.31

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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.