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Finding the Fourth Proportional to 933.31, 1,288 and 513.70

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Solution

The fourth proportional to 933.31, 1,288 and 513.70 is: 708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.31 : 1,288 = 513.70 : x
  2. Step 2: Convert to fraction form
    933.31/1,288 = 513.70/x
  3. Step 3: Cross multiply
    933.31x = 1,288 × 513.70
  4. Step 4: Simplify right side
    933.31x = 661,645.60
  5. Step 5: Solve for x
    x = 661,645.60/933.31
  6. Step 6: Final answer
    x = 708.92

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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.