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Finding the Fourth Proportional to 1,344.71, 1,856.04 and 820.91

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Solution

The fourth proportional to 1,344.71, 1,856.04 and 820.91 is: 1,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.71 : 1,856.04 = 820.91 : x
  2. Step 2: Convert to fraction form
    1,344.71/1,856.04 = 820.91/x
  3. Step 3: Cross multiply
    1,344.71x = 1,856.04 × 820.91
  4. Step 4: Simplify right side
    1,344.71x = 1,523,641.80
  5. Step 5: Solve for x
    x = 1,523,641.80/1,344.71
  6. Step 6: Final answer
    x = 1,133.06

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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.