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Finding the Fourth Proportional to 1,071.91, 1,479.17 and 606.13

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Solution

The fourth proportional to 1,071.91, 1,479.17 and 606.13 is: 836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.91 : 1,479.17 = 606.13 : x
  2. Step 2: Convert to fraction form
    1,071.91/1,479.17 = 606.13/x
  3. Step 3: Cross multiply
    1,071.91x = 1,479.17 × 606.13
  4. Step 4: Simplify right side
    1,071.91x = 896,569.31
  5. Step 5: Solve for x
    x = 896,569.31/1,071.91
  6. Step 6: Final answer
    x = 836.42

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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.