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Finding the Fourth Proportional to 1,309.58, 1,965 and 651.50

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Solution

The fourth proportional to 1,309.58, 1,965 and 651.50 is: 977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.58 : 1,965 = 651.50 : x
  2. Step 2: Convert to fraction form
    1,309.58/1,965 = 651.50/x
  3. Step 3: Cross multiply
    1,309.58x = 1,965 × 651.50
  4. Step 4: Simplify right side
    1,309.58x = 1,280,187.68
  5. Step 5: Solve for x
    x = 1,280,187.68/1,309.58
  6. Step 6: Final answer
    x = 977.56

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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.