Home / 1,219.17-1,828.80-468.84

Finding the Fourth Proportional to 1,219.17, 1,828.80 and 468.84

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Solution

The fourth proportional to 1,219.17, 1,828.80 and 468.84 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.17 : 1,828.80 = 468.84 : x
  2. Step 2: Convert to fraction form
    1,219.17/1,828.80 = 468.84/x
  3. Step 3: Cross multiply
    1,219.17x = 1,828.80 × 468.84
  4. Step 4: Simplify right side
    1,219.17x = 857,414.59
  5. Step 5: Solve for x
    x = 857,414.59/1,219.17
  6. Step 6: Final answer
    x = 703.28

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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.