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Finding the Fourth Proportional to 1,074.28, 1,482.25 and 720.08

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Solution

The fourth proportional to 1,074.28, 1,482.25 and 720.08 is: 993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.28 : 1,482.25 = 720.08 : x
  2. Step 2: Convert to fraction form
    1,074.28/1,482.25 = 720.08/x
  3. Step 3: Cross multiply
    1,074.28x = 1,482.25 × 720.08
  4. Step 4: Simplify right side
    1,074.28x = 1,067,337.23
  5. Step 5: Solve for x
    x = 1,067,337.23/1,074.28
  6. Step 6: Final answer
    x = 993.53

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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.