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Finding the Fourth Proportional to 933.48, 1,286.76 and 601.80

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Solution

The fourth proportional to 933.48, 1,286.76 and 601.80 is: 829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.48 : 1,286.76 = 601.80 : x
  2. Step 2: Convert to fraction form
    933.48/1,286.76 = 601.80/x
  3. Step 3: Cross multiply
    933.48x = 1,286.76 × 601.80
  4. Step 4: Simplify right side
    933.48x = 774,372.17
  5. Step 5: Solve for x
    x = 774,372.17/933.48
  6. Step 6: Final answer
    x = 829.55

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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.