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Finding the Fourth Proportional to 1,307.50, 1,801.12 and 1,012.26

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Solution

The fourth proportional to 1,307.50, 1,801.12 and 1,012.26 is: 1,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.50 : 1,801.12 = 1,012.26 : x
  2. Step 2: Convert to fraction form
    1,307.50/1,801.12 = 1,012.26/x
  3. Step 3: Cross multiply
    1,307.50x = 1,801.12 × 1,012.26
  4. Step 4: Simplify right side
    1,307.50x = 1,823,201.73
  5. Step 5: Solve for x
    x = 1,823,201.73/1,307.50
  6. Step 6: Final answer
    x = 1,394.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.