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Finding the Fourth Proportional to 1,180.94, 1,771.42 and 315.26

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Solution

The fourth proportional to 1,180.94, 1,771.42 and 315.26 is: 472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.94 : 1,771.42 = 315.26 : x
  2. Step 2: Convert to fraction form
    1,180.94/1,771.42 = 315.26/x
  3. Step 3: Cross multiply
    1,180.94x = 1,771.42 × 315.26
  4. Step 4: Simplify right side
    1,180.94x = 558,457.87
  5. Step 5: Solve for x
    x = 558,457.87/1,180.94
  6. Step 6: Final answer
    x = 472.89

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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.