Home / 1,576.12-2,364.20-421.88

Finding the Fourth Proportional to 1,576.12, 2,364.20 and 421.88

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Solution

The fourth proportional to 1,576.12, 2,364.20 and 421.88 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.12 : 2,364.20 = 421.88 : x
  2. Step 2: Convert to fraction form
    1,576.12/2,364.20 = 421.88/x
  3. Step 3: Cross multiply
    1,576.12x = 2,364.20 × 421.88
  4. Step 4: Simplify right side
    1,576.12x = 997,408.70
  5. Step 5: Solve for x
    x = 997,408.70/1,576.12
  6. Step 6: Final answer
    x = 632.83

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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.