Home / 1,415.19-2,122.34-477.95

Finding the Fourth Proportional to 1,415.19, 2,122.34 and 477.95

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Solution

The fourth proportional to 1,415.19, 2,122.34 and 477.95 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.19 : 2,122.34 = 477.95 : x
  2. Step 2: Convert to fraction form
    1,415.19/2,122.34 = 477.95/x
  3. Step 3: Cross multiply
    1,415.19x = 2,122.34 × 477.95
  4. Step 4: Simplify right side
    1,415.19x = 1,014,371.34
  5. Step 5: Solve for x
    x = 1,014,371.34/1,415.19
  6. Step 6: Final answer
    x = 716.77

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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.