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Finding the Fourth Proportional to 780.96, 1,078.40 and 675.36

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Solution

The fourth proportional to 780.96, 1,078.40 and 675.36 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.96 : 1,078.40 = 675.36 : x
  2. Step 2: Convert to fraction form
    780.96/1,078.40 = 675.36/x
  3. Step 3: Cross multiply
    780.96x = 1,078.40 × 675.36
  4. Step 4: Simplify right side
    780.96x = 728,308.22
  5. Step 5: Solve for x
    x = 728,308.22/780.96
  6. Step 6: Final answer
    x = 932.58

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1.5x scale

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.