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Finding the Fourth Proportional to 994.64, 1,371.74 and 621.24

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Solution

The fourth proportional to 994.64, 1,371.74 and 621.24 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.64 : 1,371.74 = 621.24 : x
  2. Step 2: Convert to fraction form
    994.64/1,371.74 = 621.24/x
  3. Step 3: Cross multiply
    994.64x = 1,371.74 × 621.24
  4. Step 4: Simplify right side
    994.64x = 852,179.76
  5. Step 5: Solve for x
    x = 852,179.76/994.64
  6. Step 6: Final answer
    x = 856.77

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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.