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Finding the Fourth Proportional to 1,039.34, 1,433.92 and 685.93

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Solution

The fourth proportional to 1,039.34, 1,433.92 and 685.93 is: 946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.34 : 1,433.92 = 685.93 : x
  2. Step 2: Convert to fraction form
    1,039.34/1,433.92 = 685.93/x
  3. Step 3: Cross multiply
    1,039.34x = 1,433.92 × 685.93
  4. Step 4: Simplify right side
    1,039.34x = 983,568.75
  5. Step 5: Solve for x
    x = 983,568.75/1,039.34
  6. Step 6: Final answer
    x = 946.34

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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.