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Finding the Fourth Proportional to 625.96, 864.16 and 485.77

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Solution

The fourth proportional to 625.96, 864.16 and 485.77 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.96 : 864.16 = 485.77 : x
  2. Step 2: Convert to fraction form
    625.96/864.16 = 485.77/x
  3. Step 3: Cross multiply
    625.96x = 864.16 × 485.77
  4. Step 4: Simplify right side
    625.96x = 419,783.00
  5. Step 5: Solve for x
    x = 419,783.00/625.96
  6. Step 6: Final answer
    x = 670.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.