Home / 1,159.08-1,738.69-465.66

Finding the Fourth Proportional to 1,159.08, 1,738.69 and 465.66

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Solution

The fourth proportional to 1,159.08, 1,738.69 and 465.66 is: 698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.08 : 1,738.69 = 465.66 : x
  2. Step 2: Convert to fraction form
    1,159.08/1,738.69 = 465.66/x
  3. Step 3: Cross multiply
    1,159.08x = 1,738.69 × 465.66
  4. Step 4: Simplify right side
    1,159.08x = 809,630.86
  5. Step 5: Solve for x
    x = 809,630.86/1,159.08
  6. Step 6: Final answer
    x = 698.51

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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.