Home / 1,415.16-2,122.92-477.77

Finding the Fourth Proportional to 1,415.16, 2,122.92 and 477.77

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Solution

The fourth proportional to 1,415.16, 2,122.92 and 477.77 is: 716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 2,122.92 = 477.77 : x
  2. Step 2: Convert to fraction form
    1,415.16/2,122.92 = 477.77/x
  3. Step 3: Cross multiply
    1,415.16x = 2,122.92 × 477.77
  4. Step 4: Simplify right side
    1,415.16x = 1,014,256.87
  5. Step 5: Solve for x
    x = 1,014,256.87/1,415.16
  6. Step 6: Final answer
    x = 716.71

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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.