Home / 1,756.21-2,634.09-457.78

Finding the Fourth Proportional to 1,756.21, 2,634.09 and 457.78

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Solution

The fourth proportional to 1,756.21, 2,634.09 and 457.78 is: 686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.21 : 2,634.09 = 457.78 : x
  2. Step 2: Convert to fraction form
    1,756.21/2,634.09 = 457.78/x
  3. Step 3: Cross multiply
    1,756.21x = 2,634.09 × 457.78
  4. Step 4: Simplify right side
    1,756.21x = 1,205,833.72
  5. Step 5: Solve for x
    x = 1,205,833.72/1,756.21
  6. Step 6: Final answer
    x = 686.61

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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.