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Finding the Fourth Proportional to 421.67, 637.13 and 419.24

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Solution

The fourth proportional to 421.67, 637.13 and 419.24 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 637.13 = 419.24 : x
  2. Step 2: Convert to fraction form
    421.67/637.13 = 419.24/x
  3. Step 3: Cross multiply
    421.67x = 637.13 × 419.24
  4. Step 4: Simplify right side
    421.67x = 267,113.02
  5. Step 5: Solve for x
    x = 267,113.02/421.67
  6. Step 6: Final answer
    x = 633.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.