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Finding the Fourth Proportional to 689.10, 1,027.99 and 670.27

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Solution

The fourth proportional to 689.10, 1,027.99 and 670.27 is: 999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 1,027.99 = 670.27 : x
  2. Step 2: Convert to fraction form
    689.10/1,027.99 = 670.27/x
  3. Step 3: Cross multiply
    689.10x = 1,027.99 × 670.27
  4. Step 4: Simplify right side
    689.10x = 689,030.86
  5. Step 5: Solve for x
    x = 689,030.86/689.10
  6. Step 6: Final answer
    x = 999.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.