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Finding the Fourth Proportional to 1,680, 2,318.34 and 933.94

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Solution

The fourth proportional to 1,680, 2,318.34 and 933.94 is: 1,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,318.34 = 933.94 : x
  2. Step 2: Convert to fraction form
    1,680/2,318.34 = 933.94/x
  3. Step 3: Cross multiply
    1,680x = 2,318.34 × 933.94
  4. Step 4: Simplify right side
    1,680x = 2,165,190.46
  5. Step 5: Solve for x
    x = 2,165,190.46/1,680
  6. Step 6: Final answer
    x = 1,288.80

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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.