Home / 1,354.08-2,031.18-429.71

Finding the Fourth Proportional to 1,354.08, 2,031.18 and 429.71

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Solution

The fourth proportional to 1,354.08, 2,031.18 and 429.71 is: 644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.08 : 2,031.18 = 429.71 : x
  2. Step 2: Convert to fraction form
    1,354.08/2,031.18 = 429.71/x
  3. Step 3: Cross multiply
    1,354.08x = 2,031.18 × 429.71
  4. Step 4: Simplify right side
    1,354.08x = 872,806.59
  5. Step 5: Solve for x
    x = 872,806.59/1,354.08
  6. Step 6: Final answer
    x = 644.57

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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.