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Finding the Fourth Proportional to 1,984.79, 2,977.34 and 523.94

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Solution

The fourth proportional to 1,984.79, 2,977.34 and 523.94 is: 785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.79 : 2,977.34 = 523.94 : x
  2. Step 2: Convert to fraction form
    1,984.79/2,977.34 = 523.94/x
  3. Step 3: Cross multiply
    1,984.79x = 2,977.34 × 523.94
  4. Step 4: Simplify right side
    1,984.79x = 1,559,930.01
  5. Step 5: Solve for x
    x = 1,559,930.01/1,984.79
  6. Step 6: Final answer
    x = 785.94

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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.