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Finding the Fourth Proportional to 685.96, 1,027.99 and 594.43

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Solution

The fourth proportional to 685.96, 1,027.99 and 594.43 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 1,027.99 = 594.43 : x
  2. Step 2: Convert to fraction form
    685.96/1,027.99 = 594.43/x
  3. Step 3: Cross multiply
    685.96x = 1,027.99 × 594.43
  4. Step 4: Simplify right side
    685.96x = 611,068.10
  5. Step 5: Solve for x
    x = 611,068.10/685.96
  6. Step 6: Final answer
    x = 890.82

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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.