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Finding the Fourth Proportional to 719.94, 989.21 and 572.32

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Solution

The fourth proportional to 719.94, 989.21 and 572.32 is: 786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.94 : 989.21 = 572.32 : x
  2. Step 2: Convert to fraction form
    719.94/989.21 = 572.32/x
  3. Step 3: Cross multiply
    719.94x = 989.21 × 572.32
  4. Step 4: Simplify right side
    719.94x = 566,137.57
  5. Step 5: Solve for x
    x = 566,137.57/719.94
  6. Step 6: Final answer
    x = 786.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.