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Finding the Fourth Proportional to 884.80, 1,325.60 and 782.40

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Solution

The fourth proportional to 884.80, 1,325.60 and 782.40 is: 1,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.80 : 1,325.60 = 782.40 : x
  2. Step 2: Convert to fraction form
    884.80/1,325.60 = 782.40/x
  3. Step 3: Cross multiply
    884.80x = 1,325.60 × 782.40
  4. Step 4: Simplify right side
    884.80x = 1,037,149.44
  5. Step 5: Solve for x
    x = 1,037,149.44/884.80
  6. Step 6: Final answer
    x = 1,172.19

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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.