Home / 1,404.23-2,106.27-430.34

Finding the Fourth Proportional to 1,404.23, 2,106.27 and 430.34

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Solution

The fourth proportional to 1,404.23, 2,106.27 and 430.34 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.23 : 2,106.27 = 430.34 : x
  2. Step 2: Convert to fraction form
    1,404.23/2,106.27 = 430.34/x
  3. Step 3: Cross multiply
    1,404.23x = 2,106.27 × 430.34
  4. Step 4: Simplify right side
    1,404.23x = 906,401.70
  5. Step 5: Solve for x
    x = 906,401.70/1,404.23
  6. Step 6: Final answer
    x = 645.48

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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.