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Finding the Fourth Proportional to 1,101.40, 1,651.89 and 370.78

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Solution

The fourth proportional to 1,101.40, 1,651.89 and 370.78 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.40 : 1,651.89 = 370.78 : x
  2. Step 2: Convert to fraction form
    1,101.40/1,651.89 = 370.78/x
  3. Step 3: Cross multiply
    1,101.40x = 1,651.89 × 370.78
  4. Step 4: Simplify right side
    1,101.40x = 612,485.03
  5. Step 5: Solve for x
    x = 612,485.03/1,101.40
  6. Step 6: Final answer
    x = 556.10

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1.5x scale

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.