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Finding the Fourth Proportional to 874.96, 1,208.98 and 625.84

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Solution

The fourth proportional to 874.96, 1,208.98 and 625.84 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,208.98 = 625.84 : x
  2. Step 2: Convert to fraction form
    874.96/1,208.98 = 625.84/x
  3. Step 3: Cross multiply
    874.96x = 1,208.98 × 625.84
  4. Step 4: Simplify right side
    874.96x = 756,628.04
  5. Step 5: Solve for x
    x = 756,628.04/874.96
  6. Step 6: Final answer
    x = 864.76

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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.