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Finding the Fourth Proportional to 1,106.87, 1,527.60 and 634.81

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Solution

The fourth proportional to 1,106.87, 1,527.60 and 634.81 is: 876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.87 : 1,527.60 = 634.81 : x
  2. Step 2: Convert to fraction form
    1,106.87/1,527.60 = 634.81/x
  3. Step 3: Cross multiply
    1,106.87x = 1,527.60 × 634.81
  4. Step 4: Simplify right side
    1,106.87x = 969,735.76
  5. Step 5: Solve for x
    x = 969,735.76/1,106.87
  6. Step 6: Final answer
    x = 876.11

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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.