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Finding the Fourth Proportional to 1,404.09, 2,106.02 and 430.13

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Solution

The fourth proportional to 1,404.09, 2,106.02 and 430.13 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.09 : 2,106.02 = 430.13 : x
  2. Step 2: Convert to fraction form
    1,404.09/2,106.02 = 430.13/x
  3. Step 3: Cross multiply
    1,404.09x = 2,106.02 × 430.13
  4. Step 4: Simplify right side
    1,404.09x = 905,849.70
  5. Step 5: Solve for x
    x = 905,849.70/1,404.09
  6. Step 6: Final answer
    x = 645.15

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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.