Home / 1,478.19-2,216.75-490.82

Finding the Fourth Proportional to 1,478.19, 2,216.75 and 490.82

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Solution

The fourth proportional to 1,478.19, 2,216.75 and 490.82 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.19 : 2,216.75 = 490.82 : x
  2. Step 2: Convert to fraction form
    1,478.19/2,216.75 = 490.82/x
  3. Step 3: Cross multiply
    1,478.19x = 2,216.75 × 490.82
  4. Step 4: Simplify right side
    1,478.19x = 1,088,025.24
  5. Step 5: Solve for x
    x = 1,088,025.24/1,478.19
  6. Step 6: Final answer
    x = 736.05

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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.