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Finding the Fourth Proportional to 1,341.15, 1,850.90 and 781.67

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Solution

The fourth proportional to 1,341.15, 1,850.90 and 781.67 is: 1,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.15 : 1,850.90 = 781.67 : x
  2. Step 2: Convert to fraction form
    1,341.15/1,850.90 = 781.67/x
  3. Step 3: Cross multiply
    1,341.15x = 1,850.90 × 781.67
  4. Step 4: Simplify right side
    1,341.15x = 1,446,779.84
  5. Step 5: Solve for x
    x = 1,446,779.84/1,341.15
  6. Step 6: Final answer
    x = 1,078.76

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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.