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Finding the Fourth Proportional to 1,403.91, 2,105.96 and 430.69

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Solution

The fourth proportional to 1,403.91, 2,105.96 and 430.69 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.91 : 2,105.96 = 430.69 : x
  2. Step 2: Convert to fraction form
    1,403.91/2,105.96 = 430.69/x
  3. Step 3: Cross multiply
    1,403.91x = 2,105.96 × 430.69
  4. Step 4: Simplify right side
    1,403.91x = 907,015.91
  5. Step 5: Solve for x
    x = 907,015.91/1,403.91
  6. Step 6: Final answer
    x = 646.06

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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.