Home / 1,460.35-2,188.69-730.14

Finding the Fourth Proportional to 1,460.35, 2,188.69 and 730.14

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Solution

The fourth proportional to 1,460.35, 2,188.69 and 730.14 is: 1,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.35 : 2,188.69 = 730.14 : x
  2. Step 2: Convert to fraction form
    1,460.35/2,188.69 = 730.14/x
  3. Step 3: Cross multiply
    1,460.35x = 2,188.69 × 730.14
  4. Step 4: Simplify right side
    1,460.35x = 1,598,050.12
  5. Step 5: Solve for x
    x = 1,598,050.12/1,460.35
  6. Step 6: Final answer
    x = 1,094.29

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1.5x scale

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.