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Finding the Fourth Proportional to 969.93, 1,454.29 and 644.92

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Solution

The fourth proportional to 969.93, 1,454.29 and 644.92 is: 966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.93 : 1,454.29 = 644.92 : x
  2. Step 2: Convert to fraction form
    969.93/1,454.29 = 644.92/x
  3. Step 3: Cross multiply
    969.93x = 1,454.29 × 644.92
  4. Step 4: Simplify right side
    969.93x = 937,895.46
  5. Step 5: Solve for x
    x = 937,895.46/969.93
  6. Step 6: Final answer
    x = 966.97

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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.