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Finding the Fourth Proportional to 485.23, 728.83 and 399.77

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Solution

The fourth proportional to 485.23, 728.83 and 399.77 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.23 : 728.83 = 399.77 : x
  2. Step 2: Convert to fraction form
    485.23/728.83 = 399.77/x
  3. Step 3: Cross multiply
    485.23x = 728.83 × 399.77
  4. Step 4: Simplify right side
    485.23x = 291,364.37
  5. Step 5: Solve for x
    x = 291,364.37/485.23
  6. Step 6: Final answer
    x = 600.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.