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Finding the Fourth Proportional to 1,106.23, 1,527.79 and 687.58

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Solution

The fourth proportional to 1,106.23, 1,527.79 and 687.58 is: 949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.23 : 1,527.79 = 687.58 : x
  2. Step 2: Convert to fraction form
    1,106.23/1,527.79 = 687.58/x
  3. Step 3: Cross multiply
    1,106.23x = 1,527.79 × 687.58
  4. Step 4: Simplify right side
    1,106.23x = 1,050,471.67
  5. Step 5: Solve for x
    x = 1,050,471.67/1,106.23
  6. Step 6: Final answer
    x = 949.59

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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.