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Finding the Fourth Proportional to 1,295.95, 1,943.91 and 322.06

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Solution

The fourth proportional to 1,295.95, 1,943.91 and 322.06 is: 483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.95 : 1,943.91 = 322.06 : x
  2. Step 2: Convert to fraction form
    1,295.95/1,943.91 = 322.06/x
  3. Step 3: Cross multiply
    1,295.95x = 1,943.91 × 322.06
  4. Step 4: Simplify right side
    1,295.95x = 626,055.65
  5. Step 5: Solve for x
    x = 626,055.65/1,295.95
  6. Step 6: Final answer
    x = 483.09

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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.