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Finding the Fourth Proportional to 1,103.21, 1,655.02 and 372.83

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Solution

The fourth proportional to 1,103.21, 1,655.02 and 372.83 is: 559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.21 : 1,655.02 = 372.83 : x
  2. Step 2: Convert to fraction form
    1,103.21/1,655.02 = 372.83/x
  3. Step 3: Cross multiply
    1,103.21x = 1,655.02 × 372.83
  4. Step 4: Simplify right side
    1,103.21x = 617,041.11
  5. Step 5: Solve for x
    x = 617,041.11/1,103.21
  6. Step 6: Final answer
    x = 559.32

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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.