Home / 1,159.08-1,738.28-465.53

Finding the Fourth Proportional to 1,159.08, 1,738.28 and 465.53

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Solution

The fourth proportional to 1,159.08, 1,738.28 and 465.53 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.08 : 1,738.28 = 465.53 : x
  2. Step 2: Convert to fraction form
    1,159.08/1,738.28 = 465.53/x
  3. Step 3: Cross multiply
    1,159.08x = 1,738.28 × 465.53
  4. Step 4: Simplify right side
    1,159.08x = 809,210.47
  5. Step 5: Solve for x
    x = 809,210.47/1,159.08
  6. Step 6: Final answer
    x = 698.15

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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.