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Finding the Fourth Proportional to 635.70, 877.27 and 370.21

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Solution

The fourth proportional to 635.70, 877.27 and 370.21 is: 510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.70 : 877.27 = 370.21 : x
  2. Step 2: Convert to fraction form
    635.70/877.27 = 370.21/x
  3. Step 3: Cross multiply
    635.70x = 877.27 × 370.21
  4. Step 4: Simplify right side
    635.70x = 324,769.74
  5. Step 5: Solve for x
    x = 324,769.74/635.70
  6. Step 6: Final answer
    x = 510.89

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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.