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Finding the Fourth Proportional to 1,090.20, 1,503.88 and 779.88

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Solution

The fourth proportional to 1,090.20, 1,503.88 and 779.88 is: 1,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.20 : 1,503.88 = 779.88 : x
  2. Step 2: Convert to fraction form
    1,090.20/1,503.88 = 779.88/x
  3. Step 3: Cross multiply
    1,090.20x = 1,503.88 × 779.88
  4. Step 4: Simplify right side
    1,090.20x = 1,172,845.93
  5. Step 5: Solve for x
    x = 1,172,845.93/1,090.20
  6. Step 6: Final answer
    x = 1,075.81

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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.