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Finding the Fourth Proportional to 1,732.02, 2,389.99 and 985.90

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Solution

The fourth proportional to 1,732.02, 2,389.99 and 985.90 is: 1,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.02 : 2,389.99 = 985.90 : x
  2. Step 2: Convert to fraction form
    1,732.02/2,389.99 = 985.90/x
  3. Step 3: Cross multiply
    1,732.02x = 2,389.99 × 985.90
  4. Step 4: Simplify right side
    1,732.02x = 2,356,291.14
  5. Step 5: Solve for x
    x = 2,356,291.14/1,732.02
  6. Step 6: Final answer
    x = 1,360.43

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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.