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Finding the Fourth Proportional to 1,354.09, 2,030.38 and 429.48

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Solution

The fourth proportional to 1,354.09, 2,030.38 and 429.48 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.09 : 2,030.38 = 429.48 : x
  2. Step 2: Convert to fraction form
    1,354.09/2,030.38 = 429.48/x
  3. Step 3: Cross multiply
    1,354.09x = 2,030.38 × 429.48
  4. Step 4: Simplify right side
    1,354.09x = 871,995.30
  5. Step 5: Solve for x
    x = 871,995.30/1,354.09
  6. Step 6: Final answer
    x = 643.97

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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.