Home / 1,456.40-2,183.96-430.16

Finding the Fourth Proportional to 1,456.40, 2,183.96 and 430.16

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Solution

The fourth proportional to 1,456.40, 2,183.96 and 430.16 is: 645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.40 : 2,183.96 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,456.40/2,183.96 = 430.16/x
  3. Step 3: Cross multiply
    1,456.40x = 2,183.96 × 430.16
  4. Step 4: Simplify right side
    1,456.40x = 939,452.23
  5. Step 5: Solve for x
    x = 939,452.23/1,456.40
  6. Step 6: Final answer
    x = 645.05

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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.