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Finding the Fourth Proportional to 633.72, 873.72 and 528.96

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Solution

The fourth proportional to 633.72, 873.72 and 528.96 is: 729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 873.72 = 528.96 : x
  2. Step 2: Convert to fraction form
    633.72/873.72 = 528.96/x
  3. Step 3: Cross multiply
    633.72x = 873.72 × 528.96
  4. Step 4: Simplify right side
    633.72x = 462,162.93
  5. Step 5: Solve for x
    x = 462,162.93/633.72
  6. Step 6: Final answer
    x = 729.29

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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.