Home / 1,354.46-2,031.71-430.02

Finding the Fourth Proportional to 1,354.46, 2,031.71 and 430.02

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Solution

The fourth proportional to 1,354.46, 2,031.71 and 430.02 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.46 : 2,031.71 = 430.02 : x
  2. Step 2: Convert to fraction form
    1,354.46/2,031.71 = 430.02/x
  3. Step 3: Cross multiply
    1,354.46x = 2,031.71 × 430.02
  4. Step 4: Simplify right side
    1,354.46x = 873,673.78
  5. Step 5: Solve for x
    x = 873,673.78/1,354.46
  6. Step 6: Final answer
    x = 645.04

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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.