Home / 1,620.14-2,430.23-465.89

Finding the Fourth Proportional to 1,620.14, 2,430.23 and 465.89

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Solution

The fourth proportional to 1,620.14, 2,430.23 and 465.89 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.14 : 2,430.23 = 465.89 : x
  2. Step 2: Convert to fraction form
    1,620.14/2,430.23 = 465.89/x
  3. Step 3: Cross multiply
    1,620.14x = 2,430.23 × 465.89
  4. Step 4: Simplify right side
    1,620.14x = 1,132,205.37
  5. Step 5: Solve for x
    x = 1,132,205.37/1,620.14
  6. Step 6: Final answer
    x = 698.83

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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.