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Finding the Fourth Proportional to 637.11, 955.85 and 420.75

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Solution

The fourth proportional to 637.11, 955.85 and 420.75 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.11 : 955.85 = 420.75 : x
  2. Step 2: Convert to fraction form
    637.11/955.85 = 420.75/x
  3. Step 3: Cross multiply
    637.11x = 955.85 × 420.75
  4. Step 4: Simplify right side
    637.11x = 402,171.78
  5. Step 5: Solve for x
    x = 402,171.78/637.11
  6. Step 6: Final answer
    x = 631.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.