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Finding the Fourth Proportional to 1,106.81, 1,526.54 and 687.41

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Solution

The fourth proportional to 1,106.81, 1,526.54 and 687.41 is: 948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.81 : 1,526.54 = 687.41 : x
  2. Step 2: Convert to fraction form
    1,106.81/1,526.54 = 687.41/x
  3. Step 3: Cross multiply
    1,106.81x = 1,526.54 × 687.41
  4. Step 4: Simplify right side
    1,106.81x = 1,049,350.37
  5. Step 5: Solve for x
    x = 1,049,350.37/1,106.81
  6. Step 6: Final answer
    x = 948.09

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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.