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Finding the Fourth Proportional to 719.81, 1,074.49 and 622.94

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Solution

The fourth proportional to 719.81, 1,074.49 and 622.94 is: 929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.81 : 1,074.49 = 622.94 : x
  2. Step 2: Convert to fraction form
    719.81/1,074.49 = 622.94/x
  3. Step 3: Cross multiply
    719.81x = 1,074.49 × 622.94
  4. Step 4: Simplify right side
    719.81x = 669,342.80
  5. Step 5: Solve for x
    x = 669,342.80/719.81
  6. Step 6: Final answer
    x = 929.89

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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.