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Finding the Fourth Proportional to 869.49, 1,198.08 and 648.18

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Solution

The fourth proportional to 869.49, 1,198.08 and 648.18 is: 893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.49 : 1,198.08 = 648.18 : x
  2. Step 2: Convert to fraction form
    869.49/1,198.08 = 648.18/x
  3. Step 3: Cross multiply
    869.49x = 1,198.08 × 648.18
  4. Step 4: Simplify right side
    869.49x = 776,571.49
  5. Step 5: Solve for x
    x = 776,571.49/869.49
  6. Step 6: Final answer
    x = 893.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.