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Finding the Fourth Proportional to 941.80, 1,410.30 and 780.28

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Solution

The fourth proportional to 941.80, 1,410.30 and 780.28 is: 1,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.80 : 1,410.30 = 780.28 : x
  2. Step 2: Convert to fraction form
    941.80/1,410.30 = 780.28/x
  3. Step 3: Cross multiply
    941.80x = 1,410.30 × 780.28
  4. Step 4: Simplify right side
    941.80x = 1,100,428.88
  5. Step 5: Solve for x
    x = 1,100,428.88/941.80
  6. Step 6: Final answer
    x = 1,168.43

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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.