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Finding the Fourth Proportional to 789.64, 1,089.51 and 684.56

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Solution

The fourth proportional to 789.64, 1,089.51 and 684.56 is: 944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.64 : 1,089.51 = 684.56 : x
  2. Step 2: Convert to fraction form
    789.64/1,089.51 = 684.56/x
  3. Step 3: Cross multiply
    789.64x = 1,089.51 × 684.56
  4. Step 4: Simplify right side
    789.64x = 745,834.97
  5. Step 5: Solve for x
    x = 745,834.97/789.64
  6. Step 6: Final answer
    x = 944.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.