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Finding the Fourth Proportional to 919.88, 1,270.25 and 625.85

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Solution

The fourth proportional to 919.88, 1,270.25 and 625.85 is: 864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.88 : 1,270.25 = 625.85 : x
  2. Step 2: Convert to fraction form
    919.88/1,270.25 = 625.85/x
  3. Step 3: Cross multiply
    919.88x = 1,270.25 × 625.85
  4. Step 4: Simplify right side
    919.88x = 794,982.83
  5. Step 5: Solve for x
    x = 794,982.83/919.88
  6. Step 6: Final answer
    x = 864.22

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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.