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Finding the Fourth Proportional to 933.60, 1,288.52 and 712.13

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Solution

The fourth proportional to 933.60, 1,288.52 and 712.13 is: 982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.60 : 1,288.52 = 712.13 : x
  2. Step 2: Convert to fraction form
    933.60/1,288.52 = 712.13/x
  3. Step 3: Cross multiply
    933.60x = 1,288.52 × 712.13
  4. Step 4: Simplify right side
    933.60x = 917,593.75
  5. Step 5: Solve for x
    x = 917,593.75/933.60
  6. Step 6: Final answer
    x = 982.86

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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.