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Finding the Fourth Proportional to 994.20, 1,371.78 and 595.74

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Solution

The fourth proportional to 994.20, 1,371.78 and 595.74 is: 821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,371.78 = 595.74 : x
  2. Step 2: Convert to fraction form
    994.20/1,371.78 = 595.74/x
  3. Step 3: Cross multiply
    994.20x = 1,371.78 × 595.74
  4. Step 4: Simplify right side
    994.20x = 817,224.22
  5. Step 5: Solve for x
    x = 817,224.22/994.20
  6. Step 6: Final answer
    x = 821.99

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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.