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Finding the Fourth Proportional to 493.98, 737.43 and 476.90

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Solution

The fourth proportional to 493.98, 737.43 and 476.90 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 737.43 = 476.90 : x
  2. Step 2: Convert to fraction form
    493.98/737.43 = 476.90/x
  3. Step 3: Cross multiply
    493.98x = 737.43 × 476.90
  4. Step 4: Simplify right side
    493.98x = 351,680.37
  5. Step 5: Solve for x
    x = 351,680.37/493.98
  6. Step 6: Final answer
    x = 711.93

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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.