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Finding the Fourth Proportional to 485.26, 722.83 and 478.90

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Solution

The fourth proportional to 485.26, 722.83 and 478.90 is: 713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.26 : 722.83 = 478.90 : x
  2. Step 2: Convert to fraction form
    485.26/722.83 = 478.90/x
  3. Step 3: Cross multiply
    485.26x = 722.83 × 478.90
  4. Step 4: Simplify right side
    485.26x = 346,163.29
  5. Step 5: Solve for x
    x = 346,163.29/485.26
  6. Step 6: Final answer
    x = 713.36

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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.