Home / 1,404.35-2,106.28-430.19

Finding the Fourth Proportional to 1,404.35, 2,106.28 and 430.19

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Solution

The fourth proportional to 1,404.35, 2,106.28 and 430.19 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.35 : 2,106.28 = 430.19 : x
  2. Step 2: Convert to fraction form
    1,404.35/2,106.28 = 430.19/x
  3. Step 3: Cross multiply
    1,404.35x = 2,106.28 × 430.19
  4. Step 4: Simplify right side
    1,404.35x = 906,100.59
  5. Step 5: Solve for x
    x = 906,100.59/1,404.35
  6. Step 6: Final answer
    x = 645.21

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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.