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Finding the Fourth Proportional to 1,299.74, 1,947.17 and 650.93

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Solution

The fourth proportional to 1,299.74, 1,947.17 and 650.93 is: 975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.74 : 1,947.17 = 650.93 : x
  2. Step 2: Convert to fraction form
    1,299.74/1,947.17 = 650.93/x
  3. Step 3: Cross multiply
    1,299.74x = 1,947.17 × 650.93
  4. Step 4: Simplify right side
    1,299.74x = 1,267,458.38
  5. Step 5: Solve for x
    x = 1,267,458.38/1,299.74
  6. Step 6: Final answer
    x = 975.17

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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.