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Finding the Fourth Proportional to 1,731.68, 2,389.67 and 985.75

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Solution

The fourth proportional to 1,731.68, 2,389.67 and 985.75 is: 1,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.68 : 2,389.67 = 985.75 : x
  2. Step 2: Convert to fraction form
    1,731.68/2,389.67 = 985.75/x
  3. Step 3: Cross multiply
    1,731.68x = 2,389.67 × 985.75
  4. Step 4: Simplify right side
    1,731.68x = 2,355,617.20
  5. Step 5: Solve for x
    x = 2,355,617.20/1,731.68
  6. Step 6: Final answer
    x = 1,360.31

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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.