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Finding the Fourth Proportional to 945.68, 1,304.50 and 851.72

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Solution

The fourth proportional to 945.68, 1,304.50 and 851.72 is: 1,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.68 : 1,304.50 = 851.72 : x
  2. Step 2: Convert to fraction form
    945.68/1,304.50 = 851.72/x
  3. Step 3: Cross multiply
    945.68x = 1,304.50 × 851.72
  4. Step 4: Simplify right side
    945.68x = 1,111,068.74
  5. Step 5: Solve for x
    x = 1,111,068.74/945.68
  6. Step 6: Final answer
    x = 1,174.89

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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.