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Finding the Fourth Proportional to 983.84, 1,358.08 and 668.94

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Solution

The fourth proportional to 983.84, 1,358.08 and 668.94 is: 923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.84 : 1,358.08 = 668.94 : x
  2. Step 2: Convert to fraction form
    983.84/1,358.08 = 668.94/x
  3. Step 3: Cross multiply
    983.84x = 1,358.08 × 668.94
  4. Step 4: Simplify right side
    983.84x = 908,474.04
  5. Step 5: Solve for x
    x = 908,474.04/983.84
  6. Step 6: Final answer
    x = 923.40

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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.