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Finding the Fourth Proportional to 900.40, 1,241 and 678.96

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Solution

The fourth proportional to 900.40, 1,241 and 678.96 is: 935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.40 : 1,241 = 678.96 : x
  2. Step 2: Convert to fraction form
    900.40/1,241 = 678.96/x
  3. Step 3: Cross multiply
    900.40x = 1,241 × 678.96
  4. Step 4: Simplify right side
    900.40x = 842,589.36
  5. Step 5: Solve for x
    x = 842,589.36/900.40
  6. Step 6: Final answer
    x = 935.79

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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.