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Finding the Fourth Proportional to 1,216.42, 1,824.60 and 338.98

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Solution

The fourth proportional to 1,216.42, 1,824.60 and 338.98 is: 508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.42 : 1,824.60 = 338.98 : x
  2. Step 2: Convert to fraction form
    1,216.42/1,824.60 = 338.98/x
  3. Step 3: Cross multiply
    1,216.42x = 1,824.60 × 338.98
  4. Step 4: Simplify right side
    1,216.42x = 618,502.91
  5. Step 5: Solve for x
    x = 618,502.91/1,216.42
  6. Step 6: Final answer
    x = 508.46

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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.