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Finding the Fourth Proportional to 1,354.34, 2,030.54 and 429.39

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Solution

The fourth proportional to 1,354.34, 2,030.54 and 429.39 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 2,030.54 = 429.39 : x
  2. Step 2: Convert to fraction form
    1,354.34/2,030.54 = 429.39/x
  3. Step 3: Cross multiply
    1,354.34x = 2,030.54 × 429.39
  4. Step 4: Simplify right side
    1,354.34x = 871,891.42
  5. Step 5: Solve for x
    x = 871,891.42/1,354.34
  6. Step 6: Final answer
    x = 643.77

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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.