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Finding the Fourth Proportional to 1,188.49, 1,782.73 and 322.80

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Solution

The fourth proportional to 1,188.49, 1,782.73 and 322.80 is: 484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.49 : 1,782.73 = 322.80 : x
  2. Step 2: Convert to fraction form
    1,188.49/1,782.73 = 322.80/x
  3. Step 3: Cross multiply
    1,188.49x = 1,782.73 × 322.80
  4. Step 4: Simplify right side
    1,188.49x = 575,470.52
  5. Step 5: Solve for x
    x = 575,470.52/1,188.49
  6. Step 6: Final answer
    x = 484.20

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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.