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Finding the Fourth Proportional to 1,071.86, 1,479.17 and 606.11

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Solution

The fourth proportional to 1,071.86, 1,479.17 and 606.11 is: 836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.86 : 1,479.17 = 606.11 : x
  2. Step 2: Convert to fraction form
    1,071.86/1,479.17 = 606.11/x
  3. Step 3: Cross multiply
    1,071.86x = 1,479.17 × 606.11
  4. Step 4: Simplify right side
    1,071.86x = 896,539.73
  5. Step 5: Solve for x
    x = 896,539.73/1,071.86
  6. Step 6: Final answer
    x = 836.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.