Home / 1,354.25-2,031.63-429.56

Finding the Fourth Proportional to 1,354.25, 2,031.63 and 429.56

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Solution

The fourth proportional to 1,354.25, 2,031.63 and 429.56 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.25 : 2,031.63 = 429.56 : x
  2. Step 2: Convert to fraction form
    1,354.25/2,031.63 = 429.56/x
  3. Step 3: Cross multiply
    1,354.25x = 2,031.63 × 429.56
  4. Step 4: Simplify right side
    1,354.25x = 872,699.76
  5. Step 5: Solve for x
    x = 872,699.76/1,354.25
  6. Step 6: Final answer
    x = 644.42

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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.