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Finding the Fourth Proportional to 1,208.05, 1,812.26 and 374.94

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Solution

The fourth proportional to 1,208.05, 1,812.26 and 374.94 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.05 : 1,812.26 = 374.94 : x
  2. Step 2: Convert to fraction form
    1,208.05/1,812.26 = 374.94/x
  3. Step 3: Cross multiply
    1,208.05x = 1,812.26 × 374.94
  4. Step 4: Simplify right side
    1,208.05x = 679,489.70
  5. Step 5: Solve for x
    x = 679,489.70/1,208.05
  6. Step 6: Final answer
    x = 562.47

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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.