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Finding the Fourth Proportional to 1,311.60, 1,965.90 and 985.92

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Solution

The fourth proportional to 1,311.60, 1,965.90 and 985.92 is: 1,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.60 : 1,965.90 = 985.92 : x
  2. Step 2: Convert to fraction form
    1,311.60/1,965.90 = 985.92/x
  3. Step 3: Cross multiply
    1,311.60x = 1,965.90 × 985.92
  4. Step 4: Simplify right side
    1,311.60x = 1,938,220.13
  5. Step 5: Solve for x
    x = 1,938,220.13/1,311.60
  6. Step 6: Final answer
    x = 1,477.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.