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Finding the Fourth Proportional to 1,180.71, 1,771.02 and 315

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Solution

The fourth proportional to 1,180.71, 1,771.02 and 315 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.71 : 1,771.02 = 315 : x
  2. Step 2: Convert to fraction form
    1,180.71/1,771.02 = 315/x
  3. Step 3: Cross multiply
    1,180.71x = 1,771.02 × 315
  4. Step 4: Simplify right side
    1,180.71x = 557,871.30
  5. Step 5: Solve for x
    x = 557,871.30/1,180.71
  6. Step 6: Final answer
    x = 472.49

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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.