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Finding the Fourth Proportional to 655.73, 981.44 and 583.73

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Solution

The fourth proportional to 655.73, 981.44 and 583.73 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.73 : 981.44 = 583.73 : x
  2. Step 2: Convert to fraction form
    655.73/981.44 = 583.73/x
  3. Step 3: Cross multiply
    655.73x = 981.44 × 583.73
  4. Step 4: Simplify right side
    655.73x = 572,893.05
  5. Step 5: Solve for x
    x = 572,893.05/655.73
  6. Step 6: Final answer
    x = 873.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.