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Finding the Fourth Proportional to 1,374.80, 2,062.18 and 334.81

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Solution

The fourth proportional to 1,374.80, 2,062.18 and 334.81 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.80 : 2,062.18 = 334.81 : x
  2. Step 2: Convert to fraction form
    1,374.80/2,062.18 = 334.81/x
  3. Step 3: Cross multiply
    1,374.80x = 2,062.18 × 334.81
  4. Step 4: Simplify right side
    1,374.80x = 690,438.49
  5. Step 5: Solve for x
    x = 690,438.49/1,374.80
  6. Step 6: Final answer
    x = 502.21

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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.