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Finding the Fourth Proportional to 945.71, 1,304.04 and 647

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Solution

The fourth proportional to 945.71, 1,304.04 and 647 is: 892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.71 : 1,304.04 = 647 : x
  2. Step 2: Convert to fraction form
    945.71/1,304.04 = 647/x
  3. Step 3: Cross multiply
    945.71x = 1,304.04 × 647
  4. Step 4: Simplify right side
    945.71x = 843,713.88
  5. Step 5: Solve for x
    x = 843,713.88/945.71
  6. Step 6: Final answer
    x = 892.15

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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.