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Finding the Fourth Proportional to 1,015.20, 1,400.16 and 683.20

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Solution

The fourth proportional to 1,015.20, 1,400.16 and 683.20 is: 942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,400.16 = 683.20 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,400.16 = 683.20/x
  3. Step 3: Cross multiply
    1,015.20x = 1,400.16 × 683.20
  4. Step 4: Simplify right side
    1,015.20x = 956,589.31
  5. Step 5: Solve for x
    x = 956,589.31/1,015.20
  6. Step 6: Final answer
    x = 942.27

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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.