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Finding the Fourth Proportional to 1,313.40, 1,804.11 and 1,274.52

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Solution

The fourth proportional to 1,313.40, 1,804.11 and 1,274.52 is: 1,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,804.11 = 1,274.52 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,804.11 = 1,274.52/x
  3. Step 3: Cross multiply
    1,313.40x = 1,804.11 × 1,274.52
  4. Step 4: Simplify right side
    1,313.40x = 2,299,374.28
  5. Step 5: Solve for x
    x = 2,299,374.28/1,313.40
  6. Step 6: Final answer
    x = 1,750.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.