Home / 1,430.09-2,145.18-456.19

Finding the Fourth Proportional to 1,430.09, 2,145.18 and 456.19

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Solution

The fourth proportional to 1,430.09, 2,145.18 and 456.19 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.09 : 2,145.18 = 456.19 : x
  2. Step 2: Convert to fraction form
    1,430.09/2,145.18 = 456.19/x
  3. Step 3: Cross multiply
    1,430.09x = 2,145.18 × 456.19
  4. Step 4: Simplify right side
    1,430.09x = 978,614.23
  5. Step 5: Solve for x
    x = 978,614.23/1,430.09
  6. Step 6: Final answer
    x = 684.30

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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.