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Finding the Fourth Proportional to 853.44, 1,280.64 and 788.16

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Solution

The fourth proportional to 853.44, 1,280.64 and 788.16 is: 1,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.44 : 1,280.64 = 788.16 : x
  2. Step 2: Convert to fraction form
    853.44/1,280.64 = 788.16/x
  3. Step 3: Cross multiply
    853.44x = 1,280.64 × 788.16
  4. Step 4: Simplify right side
    853.44x = 1,009,349.22
  5. Step 5: Solve for x
    x = 1,009,349.22/853.44
  6. Step 6: Final answer
    x = 1,182.68

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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.