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Finding the Fourth Proportional to 492.62, 735.11 and 438.08

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Solution

The fourth proportional to 492.62, 735.11 and 438.08 is: 653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 735.11 = 438.08 : x
  2. Step 2: Convert to fraction form
    492.62/735.11 = 438.08/x
  3. Step 3: Cross multiply
    492.62x = 735.11 × 438.08
  4. Step 4: Simplify right side
    492.62x = 322,032.77
  5. Step 5: Solve for x
    x = 322,032.77/492.62
  6. Step 6: Final answer
    x = 653.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.