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Finding the Fourth Proportional to 1,178.88, 1,768.20 and 313.26

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Solution

The fourth proportional to 1,178.88, 1,768.20 and 313.26 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.88 : 1,768.20 = 313.26 : x
  2. Step 2: Convert to fraction form
    1,178.88/1,768.20 = 313.26/x
  3. Step 3: Cross multiply
    1,178.88x = 1,768.20 × 313.26
  4. Step 4: Simplify right side
    1,178.88x = 553,906.33
  5. Step 5: Solve for x
    x = 553,906.33/1,178.88
  6. Step 6: Final answer
    x = 469.86

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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.