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Finding the Fourth Proportional to 1,428.39, 2,141.80 and 503.87

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Solution

The fourth proportional to 1,428.39, 2,141.80 and 503.87 is: 755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.39 : 2,141.80 = 503.87 : x
  2. Step 2: Convert to fraction form
    1,428.39/2,141.80 = 503.87/x
  3. Step 3: Cross multiply
    1,428.39x = 2,141.80 × 503.87
  4. Step 4: Simplify right side
    1,428.39x = 1,079,176.80
  5. Step 5: Solve for x
    x = 1,079,176.80/1,428.39
  6. Step 6: Final answer
    x = 755.52

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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.