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Finding the Fourth Proportional to 492.34, 736.33 and 437.88

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Solution

The fourth proportional to 492.34, 736.33 and 437.88 is: 654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.34 : 736.33 = 437.88 : x
  2. Step 2: Convert to fraction form
    492.34/736.33 = 437.88/x
  3. Step 3: Cross multiply
    492.34x = 736.33 × 437.88
  4. Step 4: Simplify right side
    492.34x = 322,423.22
  5. Step 5: Solve for x
    x = 322,423.22/492.34
  6. Step 6: Final answer
    x = 654.88

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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.