Home / 1,404.24-2,106.77-430.49

Finding the Fourth Proportional to 1,404.24, 2,106.77 and 430.49

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Solution

The fourth proportional to 1,404.24, 2,106.77 and 430.49 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.24 : 2,106.77 = 430.49 : x
  2. Step 2: Convert to fraction form
    1,404.24/2,106.77 = 430.49/x
  3. Step 3: Cross multiply
    1,404.24x = 2,106.77 × 430.49
  4. Step 4: Simplify right side
    1,404.24x = 906,930.73
  5. Step 5: Solve for x
    x = 906,930.73/1,404.24
  6. Step 6: Final answer
    x = 645.85

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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.