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Finding the Fourth Proportional to 633, 873.50 and 353.24

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Solution

The fourth proportional to 633, 873.50 and 353.24 is: 487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 873.50 = 353.24 : x
  2. Step 2: Convert to fraction form
    633/873.50 = 353.24/x
  3. Step 3: Cross multiply
    633x = 873.50 × 353.24
  4. Step 4: Simplify right side
    633x = 308,555.14
  5. Step 5: Solve for x
    x = 308,555.14/633
  6. Step 6: Final answer
    x = 487.45

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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.