Home / 1,455.08-2,182.31-414.84

Finding the Fourth Proportional to 1,455.08, 2,182.31 and 414.84

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Solution

The fourth proportional to 1,455.08, 2,182.31 and 414.84 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.08 : 2,182.31 = 414.84 : x
  2. Step 2: Convert to fraction form
    1,455.08/2,182.31 = 414.84/x
  3. Step 3: Cross multiply
    1,455.08x = 2,182.31 × 414.84
  4. Step 4: Simplify right side
    1,455.08x = 905,307.41
  5. Step 5: Solve for x
    x = 905,307.41/1,455.08
  6. Step 6: Final answer
    x = 622.17

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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.