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Finding the Fourth Proportional to 1,161.32, 1,741.84 and 634.38

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Solution

The fourth proportional to 1,161.32, 1,741.84 and 634.38 is: 951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.32 : 1,741.84 = 634.38 : x
  2. Step 2: Convert to fraction form
    1,161.32/1,741.84 = 634.38/x
  3. Step 3: Cross multiply
    1,161.32x = 1,741.84 × 634.38
  4. Step 4: Simplify right side
    1,161.32x = 1,104,980.34
  5. Step 5: Solve for x
    x = 1,104,980.34/1,161.32
  6. Step 6: Final answer
    x = 951.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.