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Finding the Fourth Proportional to 719.30, 1,073.75 and 622.44

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Solution

The fourth proportional to 719.30, 1,073.75 and 622.44 is: 929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 1,073.75 = 622.44 : x
  2. Step 2: Convert to fraction form
    719.30/1,073.75 = 622.44/x
  3. Step 3: Cross multiply
    719.30x = 1,073.75 × 622.44
  4. Step 4: Simplify right side
    719.30x = 668,341.84
  5. Step 5: Solve for x
    x = 668,341.84/719.30
  6. Step 6: Final answer
    x = 929.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.