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Finding the Fourth Proportional to 1,304.85, 1,957.29 and 427.36

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Solution

The fourth proportional to 1,304.85, 1,957.29 and 427.36 is: 641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.85 : 1,957.29 = 427.36 : x
  2. Step 2: Convert to fraction form
    1,304.85/1,957.29 = 427.36/x
  3. Step 3: Cross multiply
    1,304.85x = 1,957.29 × 427.36
  4. Step 4: Simplify right side
    1,304.85x = 836,467.45
  5. Step 5: Solve for x
    x = 836,467.45/1,304.85
  6. Step 6: Final answer
    x = 641.04

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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.