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Finding the Fourth Proportional to 918.84, 1,268.41 and 653.82

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Solution

The fourth proportional to 918.84, 1,268.41 and 653.82 is: 902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 1,268.41 = 653.82 : x
  2. Step 2: Convert to fraction form
    918.84/1,268.41 = 653.82/x
  3. Step 3: Cross multiply
    918.84x = 1,268.41 × 653.82
  4. Step 4: Simplify right side
    918.84x = 829,313.80
  5. Step 5: Solve for x
    x = 829,313.80/918.84
  6. Step 6: Final answer
    x = 902.56

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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.