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Finding the Fourth Proportional to 1,300.20, 1,950.92 and 651.39

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Solution

The fourth proportional to 1,300.20, 1,950.92 and 651.39 is: 977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.20 : 1,950.92 = 651.39 : x
  2. Step 2: Convert to fraction form
    1,300.20/1,950.92 = 651.39/x
  3. Step 3: Cross multiply
    1,300.20x = 1,950.92 × 651.39
  4. Step 4: Simplify right side
    1,300.20x = 1,270,806.52
  5. Step 5: Solve for x
    x = 1,270,806.52/1,300.20
  6. Step 6: Final answer
    x = 977.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.