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Finding the Fourth Proportional to 945.50, 1,304.79 and 596.84

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Solution

The fourth proportional to 945.50, 1,304.79 and 596.84 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,304.79 = 596.84 : x
  2. Step 2: Convert to fraction form
    945.50/1,304.79 = 596.84/x
  3. Step 3: Cross multiply
    945.50x = 1,304.79 × 596.84
  4. Step 4: Simplify right side
    945.50x = 778,750.86
  5. Step 5: Solve for x
    x = 778,750.86/945.50
  6. Step 6: Final answer
    x = 823.64

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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.