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Finding the Fourth Proportional to 1,101.75, 1,652.64 and 332.25

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Solution

The fourth proportional to 1,101.75, 1,652.64 and 332.25 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.75 : 1,652.64 = 332.25 : x
  2. Step 2: Convert to fraction form
    1,101.75/1,652.64 = 332.25/x
  3. Step 3: Cross multiply
    1,101.75x = 1,652.64 × 332.25
  4. Step 4: Simplify right side
    1,101.75x = 549,087.98
  5. Step 5: Solve for x
    x = 549,087.98/1,101.75
  6. Step 6: Final answer
    x = 498.38

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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.