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Finding the Fourth Proportional to 653.23, 979.53 and 287.87

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Solution

The fourth proportional to 653.23, 979.53 and 287.87 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 979.53 = 287.87 : x
  2. Step 2: Convert to fraction form
    653.23/979.53 = 287.87/x
  3. Step 3: Cross multiply
    653.23x = 979.53 × 287.87
  4. Step 4: Simplify right side
    653.23x = 281,977.30
  5. Step 5: Solve for x
    x = 281,977.30/653.23
  6. Step 6: Final answer
    x = 431.67

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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.