Home / 1,278.16-1,917.46-456.26

Finding the Fourth Proportional to 1,278.16, 1,917.46 and 456.26

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Solution

The fourth proportional to 1,278.16, 1,917.46 and 456.26 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.16 : 1,917.46 = 456.26 : x
  2. Step 2: Convert to fraction form
    1,278.16/1,917.46 = 456.26/x
  3. Step 3: Cross multiply
    1,278.16x = 1,917.46 × 456.26
  4. Step 4: Simplify right side
    1,278.16x = 874,860.30
  5. Step 5: Solve for x
    x = 874,860.30/1,278.16
  6. Step 6: Final answer
    x = 684.47

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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.