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Finding the Fourth Proportional to 1,344.44, 1,856.73 and 925.87

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Solution

The fourth proportional to 1,344.44, 1,856.73 and 925.87 is: 1,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.44 : 1,856.73 = 925.87 : x
  2. Step 2: Convert to fraction form
    1,344.44/1,856.73 = 925.87/x
  3. Step 3: Cross multiply
    1,344.44x = 1,856.73 × 925.87
  4. Step 4: Simplify right side
    1,344.44x = 1,719,090.61
  5. Step 5: Solve for x
    x = 1,719,090.61/1,344.44
  6. Step 6: Final answer
    x = 1,278.67

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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.