Home / 1,501.78-2,252.67-406.14

Finding the Fourth Proportional to 1,501.78, 2,252.67 and 406.14

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Solution

The fourth proportional to 1,501.78, 2,252.67 and 406.14 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.78 : 2,252.67 = 406.14 : x
  2. Step 2: Convert to fraction form
    1,501.78/2,252.67 = 406.14/x
  3. Step 3: Cross multiply
    1,501.78x = 2,252.67 × 406.14
  4. Step 4: Simplify right side
    1,501.78x = 914,899.39
  5. Step 5: Solve for x
    x = 914,899.39/1,501.78
  6. Step 6: Final answer
    x = 609.21

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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.