Home / 1,354.06-2,031.29-429.41

Finding the Fourth Proportional to 1,354.06, 2,031.29 and 429.41

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Solution

The fourth proportional to 1,354.06, 2,031.29 and 429.41 is: 644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.06 : 2,031.29 = 429.41 : x
  2. Step 2: Convert to fraction form
    1,354.06/2,031.29 = 429.41/x
  3. Step 3: Cross multiply
    1,354.06x = 2,031.29 × 429.41
  4. Step 4: Simplify right side
    1,354.06x = 872,256.24
  5. Step 5: Solve for x
    x = 872,256.24/1,354.06
  6. Step 6: Final answer
    x = 644.18

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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.