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Finding the Fourth Proportional to 905.54, 1,248.84 and 706.42

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Solution

The fourth proportional to 905.54, 1,248.84 and 706.42 is: 974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.54 : 1,248.84 = 706.42 : x
  2. Step 2: Convert to fraction form
    905.54/1,248.84 = 706.42/x
  3. Step 3: Cross multiply
    905.54x = 1,248.84 × 706.42
  4. Step 4: Simplify right side
    905.54x = 882,205.55
  5. Step 5: Solve for x
    x = 882,205.55/905.54
  6. Step 6: Final answer
    x = 974.23

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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.