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Finding the Fourth Proportional to 1,184.71, 1,777.07 and 363.07

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Solution

The fourth proportional to 1,184.71, 1,777.07 and 363.07 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.71 : 1,777.07 = 363.07 : x
  2. Step 2: Convert to fraction form
    1,184.71/1,777.07 = 363.07/x
  3. Step 3: Cross multiply
    1,184.71x = 1,777.07 × 363.07
  4. Step 4: Simplify right side
    1,184.71x = 645,200.80
  5. Step 5: Solve for x
    x = 645,200.80/1,184.71
  6. Step 6: Final answer
    x = 544.61

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Double scale
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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.