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Finding the Fourth Proportional to 788.48, 1,084.80 and 713.60

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Solution

The fourth proportional to 788.48, 1,084.80 and 713.60 is: 981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,084.80 = 713.60 : x
  2. Step 2: Convert to fraction form
    788.48/1,084.80 = 713.60/x
  3. Step 3: Cross multiply
    788.48x = 1,084.80 × 713.60
  4. Step 4: Simplify right side
    788.48x = 774,113.28
  5. Step 5: Solve for x
    x = 774,113.28/788.48
  6. Step 6: Final answer
    x = 981.78

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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.