Home / 1,412.06-2,117.91-438.17

Finding the Fourth Proportional to 1,412.06, 2,117.91 and 438.17

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Solution

The fourth proportional to 1,412.06, 2,117.91 and 438.17 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.06 : 2,117.91 = 438.17 : x
  2. Step 2: Convert to fraction form
    1,412.06/2,117.91 = 438.17/x
  3. Step 3: Cross multiply
    1,412.06x = 2,117.91 × 438.17
  4. Step 4: Simplify right side
    1,412.06x = 928,004.62
  5. Step 5: Solve for x
    x = 928,004.62/1,412.06
  6. Step 6: Final answer
    x = 657.20

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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.