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Finding the Fourth Proportional to 1,131.85, 1,561.38 and 781.93

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Solution

The fourth proportional to 1,131.85, 1,561.38 and 781.93 is: 1,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.85 : 1,561.38 = 781.93 : x
  2. Step 2: Convert to fraction form
    1,131.85/1,561.38 = 781.93/x
  3. Step 3: Cross multiply
    1,131.85x = 1,561.38 × 781.93
  4. Step 4: Simplify right side
    1,131.85x = 1,220,889.86
  5. Step 5: Solve for x
    x = 1,220,889.86/1,131.85
  6. Step 6: Final answer
    x = 1,078.67

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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.