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Finding the Fourth Proportional to 1,103.84, 1,655.64 and 556.42

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Solution

The fourth proportional to 1,103.84, 1,655.64 and 556.42 is: 834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.84 : 1,655.64 = 556.42 : x
  2. Step 2: Convert to fraction form
    1,103.84/1,655.64 = 556.42/x
  3. Step 3: Cross multiply
    1,103.84x = 1,655.64 × 556.42
  4. Step 4: Simplify right side
    1,103.84x = 921,231.21
  5. Step 5: Solve for x
    x = 921,231.21/1,103.84
  6. Step 6: Final answer
    x = 834.57

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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.