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Finding the Fourth Proportional to 922.68, 1,274.51 and 683.89

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Solution

The fourth proportional to 922.68, 1,274.51 and 683.89 is: 944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.68 : 1,274.51 = 683.89 : x
  2. Step 2: Convert to fraction form
    922.68/1,274.51 = 683.89/x
  3. Step 3: Cross multiply
    922.68x = 1,274.51 × 683.89
  4. Step 4: Simplify right side
    922.68x = 871,624.64
  5. Step 5: Solve for x
    x = 871,624.64/922.68
  6. Step 6: Final answer
    x = 944.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.