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Finding the Fourth Proportional to 1,291.60, 1,780.40 and 793.32

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Solution

The fourth proportional to 1,291.60, 1,780.40 and 793.32 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.60 : 1,780.40 = 793.32 : x
  2. Step 2: Convert to fraction form
    1,291.60/1,780.40 = 793.32/x
  3. Step 3: Cross multiply
    1,291.60x = 1,780.40 × 793.32
  4. Step 4: Simplify right side
    1,291.60x = 1,412,426.93
  5. Step 5: Solve for x
    x = 1,412,426.93/1,291.60
  6. Step 6: Final answer
    x = 1,093.55

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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.