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Finding the Fourth Proportional to 653.64, 979.11 and 523.86

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Solution

The fourth proportional to 653.64, 979.11 and 523.86 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 979.11 = 523.86 : x
  2. Step 2: Convert to fraction form
    653.64/979.11 = 523.86/x
  3. Step 3: Cross multiply
    653.64x = 979.11 × 523.86
  4. Step 4: Simplify right side
    653.64x = 512,916.56
  5. Step 5: Solve for x
    x = 512,916.56/653.64
  6. Step 6: Final answer
    x = 784.71

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