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Finding the Fourth Proportional to 1,295.22, 1,929.75 and 1,233.30

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Solution

The fourth proportional to 1,295.22, 1,929.75 and 1,233.30 is: 1,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.22 : 1,929.75 = 1,233.30 : x
  2. Step 2: Convert to fraction form
    1,295.22/1,929.75 = 1,233.30/x
  3. Step 3: Cross multiply
    1,295.22x = 1,929.75 × 1,233.30
  4. Step 4: Simplify right side
    1,295.22x = 2,379,960.68
  5. Step 5: Solve for x
    x = 2,379,960.68/1,295.22
  6. Step 6: Final answer
    x = 1,837.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.