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Finding the Fourth Proportional to 1,304.84, 1,958.40 and 611.88

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Solution

The fourth proportional to 1,304.84, 1,958.40 and 611.88 is: 918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.84 : 1,958.40 = 611.88 : x
  2. Step 2: Convert to fraction form
    1,304.84/1,958.40 = 611.88/x
  3. Step 3: Cross multiply
    1,304.84x = 1,958.40 × 611.88
  4. Step 4: Simplify right side
    1,304.84x = 1,198,305.79
  5. Step 5: Solve for x
    x = 1,198,305.79/1,304.84
  6. Step 6: Final answer
    x = 918.35

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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.