Home / 1,354.07-2,031.41-429.68

Finding the Fourth Proportional to 1,354.07, 2,031.41 and 429.68

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Solution

The fourth proportional to 1,354.07, 2,031.41 and 429.68 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.07 : 2,031.41 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,354.07/2,031.41 = 429.68/x
  3. Step 3: Cross multiply
    1,354.07x = 2,031.41 × 429.68
  4. Step 4: Simplify right side
    1,354.07x = 872,856.25
  5. Step 5: Solve for x
    x = 872,856.25/1,354.07
  6. Step 6: Final answer
    x = 644.62

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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.