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Finding the Fourth Proportional to 493.94, 735.07 and 477.53

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Solution

The fourth proportional to 493.94, 735.07 and 477.53 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 735.07 = 477.53 : x
  2. Step 2: Convert to fraction form
    493.94/735.07 = 477.53/x
  3. Step 3: Cross multiply
    493.94x = 735.07 × 477.53
  4. Step 4: Simplify right side
    493.94x = 351,017.98
  5. Step 5: Solve for x
    x = 351,017.98/493.94
  6. Step 6: Final answer
    x = 710.65

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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.