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Finding the Fourth Proportional to 906.60, 1,250.40 and 780.77

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Solution

The fourth proportional to 906.60, 1,250.40 and 780.77 is: 1,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.60 : 1,250.40 = 780.77 : x
  2. Step 2: Convert to fraction form
    906.60/1,250.40 = 780.77/x
  3. Step 3: Cross multiply
    906.60x = 1,250.40 × 780.77
  4. Step 4: Simplify right side
    906.60x = 976,268.56
  5. Step 5: Solve for x
    x = 976,268.56/906.60
  6. Step 6: Final answer
    x = 1,076.85

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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.