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Finding the Fourth Proportional to 653.39, 978.74 and 523.61

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Solution

The fourth proportional to 653.39, 978.74 and 523.61 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.39 : 978.74 = 523.61 : x
  2. Step 2: Convert to fraction form
    653.39/978.74 = 523.61/x
  3. Step 3: Cross multiply
    653.39x = 978.74 × 523.61
  4. Step 4: Simplify right side
    653.39x = 512,475.43
  5. Step 5: Solve for x
    x = 512,475.43/653.39
  6. Step 6: Final answer
    x = 784.33

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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.