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Finding the Fourth Proportional to 1,013.48, 1,519.79 and 428.75

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Solution

The fourth proportional to 1,013.48, 1,519.79 and 428.75 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.48 : 1,519.79 = 428.75 : x
  2. Step 2: Convert to fraction form
    1,013.48/1,519.79 = 428.75/x
  3. Step 3: Cross multiply
    1,013.48x = 1,519.79 × 428.75
  4. Step 4: Simplify right side
    1,013.48x = 651,600.22
  5. Step 5: Solve for x
    x = 651,600.22/1,013.48
  6. Step 6: Final answer
    x = 642.93

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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.