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Finding the Fourth Proportional to 637.42, 879.14 and 427.53

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Solution

The fourth proportional to 637.42, 879.14 and 427.53 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 879.14 = 427.53 : x
  2. Step 2: Convert to fraction form
    637.42/879.14 = 427.53/x
  3. Step 3: Cross multiply
    637.42x = 879.14 × 427.53
  4. Step 4: Simplify right side
    637.42x = 375,858.72
  5. Step 5: Solve for x
    x = 375,858.72/637.42
  6. Step 6: Final answer
    x = 589.66

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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.