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Finding the Fourth Proportional to 1,282.70, 1,924.28 and 513.26

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Solution

The fourth proportional to 1,282.70, 1,924.28 and 513.26 is: 769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.70 : 1,924.28 = 513.26 : x
  2. Step 2: Convert to fraction form
    1,282.70/1,924.28 = 513.26/x
  3. Step 3: Cross multiply
    1,282.70x = 1,924.28 × 513.26
  4. Step 4: Simplify right side
    1,282.70x = 987,647.61
  5. Step 5: Solve for x
    x = 987,647.61/1,282.70
  6. Step 6: Final answer
    x = 769.98

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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.