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Finding the Fourth Proportional to 945.32, 1,304.91 and 709.34

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Solution

The fourth proportional to 945.32, 1,304.91 and 709.34 is: 979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.32 : 1,304.91 = 709.34 : x
  2. Step 2: Convert to fraction form
    945.32/1,304.91 = 709.34/x
  3. Step 3: Cross multiply
    945.32x = 1,304.91 × 709.34
  4. Step 4: Simplify right side
    945.32x = 925,618.33
  5. Step 5: Solve for x
    x = 925,618.33/945.32
  6. Step 6: Final answer
    x = 979.16

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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.