Home / 1,430.69-2,145.83-456.66

Finding the Fourth Proportional to 1,430.69, 2,145.83 and 456.66

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Solution

The fourth proportional to 1,430.69, 2,145.83 and 456.66 is: 684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.69 : 2,145.83 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,430.69/2,145.83 = 456.66/x
  3. Step 3: Cross multiply
    1,430.69x = 2,145.83 × 456.66
  4. Step 4: Simplify right side
    1,430.69x = 979,912.44
  5. Step 5: Solve for x
    x = 979,912.44/1,430.69
  6. Step 6: Final answer
    x = 684.93

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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.