Home / 1,411.36-2,116.24-437.28

Finding the Fourth Proportional to 1,411.36, 2,116.24 and 437.28

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Solution

The fourth proportional to 1,411.36, 2,116.24 and 437.28 is: 655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.36 : 2,116.24 = 437.28 : x
  2. Step 2: Convert to fraction form
    1,411.36/2,116.24 = 437.28/x
  3. Step 3: Cross multiply
    1,411.36x = 2,116.24 × 437.28
  4. Step 4: Simplify right side
    1,411.36x = 925,389.43
  5. Step 5: Solve for x
    x = 925,389.43/1,411.36
  6. Step 6: Final answer
    x = 655.67

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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.