Home / 1,764.24-2,646.20-465.66

Finding the Fourth Proportional to 1,764.24, 2,646.20 and 465.66

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Solution

The fourth proportional to 1,764.24, 2,646.20 and 465.66 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.24 : 2,646.20 = 465.66 : x
  2. Step 2: Convert to fraction form
    1,764.24/2,646.20 = 465.66/x
  3. Step 3: Cross multiply
    1,764.24x = 2,646.20 × 465.66
  4. Step 4: Simplify right side
    1,764.24x = 1,232,229.49
  5. Step 5: Solve for x
    x = 1,232,229.49/1,764.24
  6. Step 6: Final answer
    x = 698.45

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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.