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Finding the Fourth Proportional to 1,033.95, 1,550.61 and 646.32

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Solution

The fourth proportional to 1,033.95, 1,550.61 and 646.32 is: 969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.95 : 1,550.61 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,033.95/1,550.61 = 646.32/x
  3. Step 3: Cross multiply
    1,033.95x = 1,550.61 × 646.32
  4. Step 4: Simplify right side
    1,033.95x = 1,002,190.26
  5. Step 5: Solve for x
    x = 1,002,190.26/1,033.95
  6. Step 6: Final answer
    x = 969.28

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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.