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Finding the Fourth Proportional to 438.84, 603.82 and 402.39

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Solution

The fourth proportional to 438.84, 603.82 and 402.39 is: 553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 603.82 = 402.39 : x
  2. Step 2: Convert to fraction form
    438.84/603.82 = 402.39/x
  3. Step 3: Cross multiply
    438.84x = 603.82 × 402.39
  4. Step 4: Simplify right side
    438.84x = 242,971.63
  5. Step 5: Solve for x
    x = 242,971.63/438.84
  6. Step 6: Final answer
    x = 553.66

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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.