Home / 1,404.14-2,106.41-430.31

Finding the Fourth Proportional to 1,404.14, 2,106.41 and 430.31

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Solution

The fourth proportional to 1,404.14, 2,106.41 and 430.31 is: 645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.14 : 2,106.41 = 430.31 : x
  2. Step 2: Convert to fraction form
    1,404.14/2,106.41 = 430.31/x
  3. Step 3: Cross multiply
    1,404.14x = 2,106.41 × 430.31
  4. Step 4: Simplify right side
    1,404.14x = 906,412.40
  5. Step 5: Solve for x
    x = 906,412.40/1,404.14
  6. Step 6: Final answer
    x = 645.53

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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.