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Finding the Fourth Proportional to 1,311.30, 1,810.65 and 892.53

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Solution

The fourth proportional to 1,311.30, 1,810.65 and 892.53 is: 1,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.30 : 1,810.65 = 892.53 : x
  2. Step 2: Convert to fraction form
    1,311.30/1,810.65 = 892.53/x
  3. Step 3: Cross multiply
    1,311.30x = 1,810.65 × 892.53
  4. Step 4: Simplify right side
    1,311.30x = 1,616,059.44
  5. Step 5: Solve for x
    x = 1,616,059.44/1,311.30
  6. Step 6: Final answer
    x = 1,232.41

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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.