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Finding the Fourth Proportional to 1,306.28, 1,956.65 and 842.42

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Solution

The fourth proportional to 1,306.28, 1,956.65 and 842.42 is: 1,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.28 : 1,956.65 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,306.28/1,956.65 = 842.42/x
  3. Step 3: Cross multiply
    1,306.28x = 1,956.65 × 842.42
  4. Step 4: Simplify right side
    1,306.28x = 1,648,307.10
  5. Step 5: Solve for x
    x = 1,648,307.10/1,306.28
  6. Step 6: Final answer
    x = 1,261.84

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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.