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Finding the Fourth Proportional to 1,033.63, 1,550.44 and 649.15

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Solution

The fourth proportional to 1,033.63, 1,550.44 and 649.15 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.63 : 1,550.44 = 649.15 : x
  2. Step 2: Convert to fraction form
    1,033.63/1,550.44 = 649.15/x
  3. Step 3: Cross multiply
    1,033.63x = 1,550.44 × 649.15
  4. Step 4: Simplify right side
    1,033.63x = 1,006,468.13
  5. Step 5: Solve for x
    x = 1,006,468.13/1,033.63
  6. Step 6: Final answer
    x = 973.72

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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.