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Finding the Fourth Proportional to 438.48, 604.58 and 431.46

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Solution

The fourth proportional to 438.48, 604.58 and 431.46 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 604.58 = 431.46 : x
  2. Step 2: Convert to fraction form
    438.48/604.58 = 431.46/x
  3. Step 3: Cross multiply
    438.48x = 604.58 × 431.46
  4. Step 4: Simplify right side
    438.48x = 260,849.93
  5. Step 5: Solve for x
    x = 260,849.93/438.48
  6. Step 6: Final answer
    x = 594.90

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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.