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Finding the Fourth Proportional to 1,236.42, 1,854.20 and 414.50

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Solution

The fourth proportional to 1,236.42, 1,854.20 and 414.50 is: 621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.42 : 1,854.20 = 414.50 : x
  2. Step 2: Convert to fraction form
    1,236.42/1,854.20 = 414.50/x
  3. Step 3: Cross multiply
    1,236.42x = 1,854.20 × 414.50
  4. Step 4: Simplify right side
    1,236.42x = 768,557.67
  5. Step 5: Solve for x
    x = 768,557.67/1,236.42
  6. Step 6: Final answer
    x = 621.60

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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.