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Finding the Fourth Proportional to 635.03, 876.57 and 470.57

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Solution

The fourth proportional to 635.03, 876.57 and 470.57 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.03 : 876.57 = 470.57 : x
  2. Step 2: Convert to fraction form
    635.03/876.57 = 470.57/x
  3. Step 3: Cross multiply
    635.03x = 876.57 × 470.57
  4. Step 4: Simplify right side
    635.03x = 412,487.54
  5. Step 5: Solve for x
    x = 412,487.54/635.03
  6. Step 6: Final answer
    x = 649.56

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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.