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Finding the Fourth Proportional to 1,304.50, 1,956.75 and 392.50

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Solution

The fourth proportional to 1,304.50, 1,956.75 and 392.50 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.50 : 1,956.75 = 392.50 : x
  2. Step 2: Convert to fraction form
    1,304.50/1,956.75 = 392.50/x
  3. Step 3: Cross multiply
    1,304.50x = 1,956.75 × 392.50
  4. Step 4: Simplify right side
    1,304.50x = 768,024.38
  5. Step 5: Solve for x
    x = 768,024.38/1,304.50
  6. Step 6: Final answer
    x = 588.75

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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.