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Finding the Fourth Proportional to 1,246.98, 1,871.28 and 836.58

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Solution

The fourth proportional to 1,246.98, 1,871.28 and 836.58 is: 1,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.98 : 1,871.28 = 836.58 : x
  2. Step 2: Convert to fraction form
    1,246.98/1,871.28 = 836.58/x
  3. Step 3: Cross multiply
    1,246.98x = 1,871.28 × 836.58
  4. Step 4: Simplify right side
    1,246.98x = 1,565,475.42
  5. Step 5: Solve for x
    x = 1,565,475.42/1,246.98
  6. Step 6: Final answer
    x = 1,255.41

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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.