Home / 1,403.83-2,105.34-430.01

Finding the Fourth Proportional to 1,403.83, 2,105.34 and 430.01

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Solution

The fourth proportional to 1,403.83, 2,105.34 and 430.01 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.83 : 2,105.34 = 430.01 : x
  2. Step 2: Convert to fraction form
    1,403.83/2,105.34 = 430.01/x
  3. Step 3: Cross multiply
    1,403.83x = 2,105.34 × 430.01
  4. Step 4: Simplify right side
    1,403.83x = 905,317.25
  5. Step 5: Solve for x
    x = 905,317.25/1,403.83
  6. Step 6: Final answer
    x = 644.89

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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.