Home / 1,460.09-2,189.75-535.73

Finding the Fourth Proportional to 1,460.09, 2,189.75 and 535.73

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Solution

The fourth proportional to 1,460.09, 2,189.75 and 535.73 is: 803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.09 : 2,189.75 = 535.73 : x
  2. Step 2: Convert to fraction form
    1,460.09/2,189.75 = 535.73/x
  3. Step 3: Cross multiply
    1,460.09x = 2,189.75 × 535.73
  4. Step 4: Simplify right side
    1,460.09x = 1,173,101.14
  5. Step 5: Solve for x
    x = 1,173,101.14/1,460.09
  6. Step 6: Final answer
    x = 803.45

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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.