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Finding the Fourth Proportional to 1,186.79, 1,778.40 and 455.49

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Solution

The fourth proportional to 1,186.79, 1,778.40 and 455.49 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.79 : 1,778.40 = 455.49 : x
  2. Step 2: Convert to fraction form
    1,186.79/1,778.40 = 455.49/x
  3. Step 3: Cross multiply
    1,186.79x = 1,778.40 × 455.49
  4. Step 4: Simplify right side
    1,186.79x = 810,043.42
  5. Step 5: Solve for x
    x = 810,043.42/1,186.79
  6. Step 6: Final answer
    x = 682.55

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1.5x scale

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.