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Finding the Fourth Proportional to 1,299.19, 1,947.87 and 649.47

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Solution

The fourth proportional to 1,299.19, 1,947.87 and 649.47 is: 973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.19 : 1,947.87 = 649.47 : x
  2. Step 2: Convert to fraction form
    1,299.19/1,947.87 = 649.47/x
  3. Step 3: Cross multiply
    1,299.19x = 1,947.87 × 649.47
  4. Step 4: Simplify right side
    1,299.19x = 1,265,083.13
  5. Step 5: Solve for x
    x = 1,265,083.13/1,299.19
  6. Step 6: Final answer
    x = 973.75

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1.5x scale

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.