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Finding the Fourth Proportional to 1,731.77, 2,389.43 and 985.67

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Solution

The fourth proportional to 1,731.77, 2,389.43 and 985.67 is: 1,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.77 : 2,389.43 = 985.67 : x
  2. Step 2: Convert to fraction form
    1,731.77/2,389.43 = 985.67/x
  3. Step 3: Cross multiply
    1,731.77x = 2,389.43 × 985.67
  4. Step 4: Simplify right side
    1,731.77x = 2,355,179.99
  5. Step 5: Solve for x
    x = 2,355,179.99/1,731.77
  6. Step 6: Final answer
    x = 1,359.99

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1.5x scale

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.