Home / 1,417.22-2,124.34-766.57

Finding the Fourth Proportional to 1,417.22, 2,124.34 and 766.57

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Solution

The fourth proportional to 1,417.22, 2,124.34 and 766.57 is: 1,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.22 : 2,124.34 = 766.57 : x
  2. Step 2: Convert to fraction form
    1,417.22/2,124.34 = 766.57/x
  3. Step 3: Cross multiply
    1,417.22x = 2,124.34 × 766.57
  4. Step 4: Simplify right side
    1,417.22x = 1,628,455.31
  5. Step 5: Solve for x
    x = 1,628,455.31/1,417.22
  6. Step 6: Final answer
    x = 1,149.05

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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.