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Finding the Fourth Proportional to 1,306.53, 1,960.02 and 382.10

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Solution

The fourth proportional to 1,306.53, 1,960.02 and 382.10 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.53 : 1,960.02 = 382.10 : x
  2. Step 2: Convert to fraction form
    1,306.53/1,960.02 = 382.10/x
  3. Step 3: Cross multiply
    1,306.53x = 1,960.02 × 382.10
  4. Step 4: Simplify right side
    1,306.53x = 748,913.84
  5. Step 5: Solve for x
    x = 748,913.84/1,306.53
  6. Step 6: Final answer
    x = 573.21

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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.