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Finding the Fourth Proportional to 789.60, 1,088.96 and 712.80

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Solution

The fourth proportional to 789.60, 1,088.96 and 712.80 is: 983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,088.96 = 712.80 : x
  2. Step 2: Convert to fraction form
    789.60/1,088.96 = 712.80/x
  3. Step 3: Cross multiply
    789.60x = 1,088.96 × 712.80
  4. Step 4: Simplify right side
    789.60x = 776,210.69
  5. Step 5: Solve for x
    x = 776,210.69/789.60
  6. Step 6: Final answer
    x = 983.04

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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.