Home / 1,178.07-1,766.96-312.45

Finding the Fourth Proportional to 1,178.07, 1,766.96 and 312.45

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Solution

The fourth proportional to 1,178.07, 1,766.96 and 312.45 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.07 : 1,766.96 = 312.45 : x
  2. Step 2: Convert to fraction form
    1,178.07/1,766.96 = 312.45/x
  3. Step 3: Cross multiply
    1,178.07x = 1,766.96 × 312.45
  4. Step 4: Simplify right side
    1,178.07x = 552,086.65
  5. Step 5: Solve for x
    x = 552,086.65/1,178.07
  6. Step 6: Final answer
    x = 468.64

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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.