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Finding the Fourth Proportional to 1,304.91, 1,955.34 and 842.30

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Solution

The fourth proportional to 1,304.91, 1,955.34 and 842.30 is: 1,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.91 : 1,955.34 = 842.30 : x
  2. Step 2: Convert to fraction form
    1,304.91/1,955.34 = 842.30/x
  3. Step 3: Cross multiply
    1,304.91x = 1,955.34 × 842.30
  4. Step 4: Simplify right side
    1,304.91x = 1,646,989.88
  5. Step 5: Solve for x
    x = 1,646,989.88/1,304.91
  6. Step 6: Final answer
    x = 1,262.15

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1.5x scale

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.