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Finding the Fourth Proportional to 945.30, 1,304.12 and 682.74

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Solution

The fourth proportional to 945.30, 1,304.12 and 682.74 is: 941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.30 : 1,304.12 = 682.74 : x
  2. Step 2: Convert to fraction form
    945.30/1,304.12 = 682.74/x
  3. Step 3: Cross multiply
    945.30x = 1,304.12 × 682.74
  4. Step 4: Simplify right side
    945.30x = 890,374.89
  5. Step 5: Solve for x
    x = 890,374.89/945.30
  6. Step 6: Final answer
    x = 941.90

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1.5x scale

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.