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Finding the Fourth Proportional to 995.80, 1,491.16 and 562.56

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Solution

The fourth proportional to 995.80, 1,491.16 and 562.56 is: 842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.80 : 1,491.16 = 562.56 : x
  2. Step 2: Convert to fraction form
    995.80/1,491.16 = 562.56/x
  3. Step 3: Cross multiply
    995.80x = 1,491.16 × 562.56
  4. Step 4: Simplify right side
    995.80x = 838,866.97
  5. Step 5: Solve for x
    x = 838,866.97/995.80
  6. Step 6: Final answer
    x = 842.41

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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.