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Finding the Fourth Proportional to 493.67, 736.84 and 485.57

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Solution

The fourth proportional to 493.67, 736.84 and 485.57 is: 724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.67 : 736.84 = 485.57 : x
  2. Step 2: Convert to fraction form
    493.67/736.84 = 485.57/x
  3. Step 3: Cross multiply
    493.67x = 736.84 × 485.57
  4. Step 4: Simplify right side
    493.67x = 357,787.40
  5. Step 5: Solve for x
    x = 357,787.40/493.67
  6. Step 6: Final answer
    x = 724.75

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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.