Home / 1,430.11-2,145.27-456.22

Finding the Fourth Proportional to 1,430.11, 2,145.27 and 456.22

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Solution

The fourth proportional to 1,430.11, 2,145.27 and 456.22 is: 684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.11 : 2,145.27 = 456.22 : x
  2. Step 2: Convert to fraction form
    1,430.11/2,145.27 = 456.22/x
  3. Step 3: Cross multiply
    1,430.11x = 2,145.27 × 456.22
  4. Step 4: Simplify right side
    1,430.11x = 978,715.08
  5. Step 5: Solve for x
    x = 978,715.08/1,430.11
  6. Step 6: Final answer
    x = 684.36

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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.