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Finding the Fourth Proportional to 872.51, 1,308.48 and 352.38

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Solution

The fourth proportional to 872.51, 1,308.48 and 352.38 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.51 : 1,308.48 = 352.38 : x
  2. Step 2: Convert to fraction form
    872.51/1,308.48 = 352.38/x
  3. Step 3: Cross multiply
    872.51x = 1,308.48 × 352.38
  4. Step 4: Simplify right side
    872.51x = 461,082.18
  5. Step 5: Solve for x
    x = 461,082.18/872.51
  6. Step 6: Final answer
    x = 528.46

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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.