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Finding the Fourth Proportional to 719.35, 1,077.57 and 441.35

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Solution

The fourth proportional to 719.35, 1,077.57 and 441.35 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.35 : 1,077.57 = 441.35 : x
  2. Step 2: Convert to fraction form
    719.35/1,077.57 = 441.35/x
  3. Step 3: Cross multiply
    719.35x = 1,077.57 × 441.35
  4. Step 4: Simplify right side
    719.35x = 475,584.17
  5. Step 5: Solve for x
    x = 475,584.17/719.35
  6. Step 6: Final answer
    x = 661.13

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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.