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Finding the Fourth Proportional to 793.40, 1,094.76 and 478.60

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Solution

The fourth proportional to 793.40, 1,094.76 and 478.60 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.40 : 1,094.76 = 478.60 : x
  2. Step 2: Convert to fraction form
    793.40/1,094.76 = 478.60/x
  3. Step 3: Cross multiply
    793.40x = 1,094.76 × 478.60
  4. Step 4: Simplify right side
    793.40x = 523,952.14
  5. Step 5: Solve for x
    x = 523,952.14/793.40
  6. Step 6: Final answer
    x = 660.39

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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.