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Finding the Fourth Proportional to 660.42, 982.40 and 653.40

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Solution

The fourth proportional to 660.42, 982.40 and 653.40 is: 971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 982.40 = 653.40 : x
  2. Step 2: Convert to fraction form
    660.42/982.40 = 653.40/x
  3. Step 3: Cross multiply
    660.42x = 982.40 × 653.40
  4. Step 4: Simplify right side
    660.42x = 641,896.89
  5. Step 5: Solve for x
    x = 641,896.89/660.42
  6. Step 6: Final answer
    x = 971.95

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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.