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Finding the Fourth Proportional to 1,013.25, 1,519.71 and 282.87

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Solution

The fourth proportional to 1,013.25, 1,519.71 and 282.87 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.25 : 1,519.71 = 282.87 : x
  2. Step 2: Convert to fraction form
    1,013.25/1,519.71 = 282.87/x
  3. Step 3: Cross multiply
    1,013.25x = 1,519.71 × 282.87
  4. Step 4: Simplify right side
    1,013.25x = 429,880.37
  5. Step 5: Solve for x
    x = 429,880.37/1,013.25
  6. Step 6: Final answer
    x = 424.26

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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.