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Finding the Fourth Proportional to 438.67, 601.73 and 429.55

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Solution

The fourth proportional to 438.67, 601.73 and 429.55 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.67 : 601.73 = 429.55 : x
  2. Step 2: Convert to fraction form
    438.67/601.73 = 429.55/x
  3. Step 3: Cross multiply
    438.67x = 601.73 × 429.55
  4. Step 4: Simplify right side
    438.67x = 258,473.12
  5. Step 5: Solve for x
    x = 258,473.12/438.67
  6. Step 6: Final answer
    x = 589.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.