Home / 1,159.56-1,738.95-466.05

Finding the Fourth Proportional to 1,159.56, 1,738.95 and 466.05

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Solution

The fourth proportional to 1,159.56, 1,738.95 and 466.05 is: 698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.56 : 1,738.95 = 466.05 : x
  2. Step 2: Convert to fraction form
    1,159.56/1,738.95 = 466.05/x
  3. Step 3: Cross multiply
    1,159.56x = 1,738.95 × 466.05
  4. Step 4: Simplify right side
    1,159.56x = 810,442.42
  5. Step 5: Solve for x
    x = 810,442.42/1,159.56
  6. Step 6: Final answer
    x = 698.92

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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.