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Finding the Fourth Proportional to 1,013.92, 1,520.37 and 428.69

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Solution

The fourth proportional to 1,013.92, 1,520.37 and 428.69 is: 642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.92 : 1,520.37 = 428.69 : x
  2. Step 2: Convert to fraction form
    1,013.92/1,520.37 = 428.69/x
  3. Step 3: Cross multiply
    1,013.92x = 1,520.37 × 428.69
  4. Step 4: Simplify right side
    1,013.92x = 651,771.22
  5. Step 5: Solve for x
    x = 651,771.22/1,013.92
  6. Step 6: Final answer
    x = 642.82

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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.