Home / 1,477.32-2,216.07-490.13

Finding the Fourth Proportional to 1,477.32, 2,216.07 and 490.13

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Solution

The fourth proportional to 1,477.32, 2,216.07 and 490.13 is: 735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.32 : 2,216.07 = 490.13 : x
  2. Step 2: Convert to fraction form
    1,477.32/2,216.07 = 490.13/x
  3. Step 3: Cross multiply
    1,477.32x = 2,216.07 × 490.13
  4. Step 4: Simplify right side
    1,477.32x = 1,086,162.39
  5. Step 5: Solve for x
    x = 1,086,162.39/1,477.32
  6. Step 6: Final answer
    x = 735.22

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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.