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Finding the Fourth Proportional to 1,090.10, 1,503.78 and 794.90

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Solution

The fourth proportional to 1,090.10, 1,503.78 and 794.90 is: 1,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.10 : 1,503.78 = 794.90 : x
  2. Step 2: Convert to fraction form
    1,090.10/1,503.78 = 794.90/x
  3. Step 3: Cross multiply
    1,090.10x = 1,503.78 × 794.90
  4. Step 4: Simplify right side
    1,090.10x = 1,195,354.72
  5. Step 5: Solve for x
    x = 1,195,354.72/1,090.10
  6. Step 6: Final answer
    x = 1,096.56

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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.