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Finding the Fourth Proportional to 438.09, 602.53 and 382.87

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Solution

The fourth proportional to 438.09, 602.53 and 382.87 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 602.53 = 382.87 : x
  2. Step 2: Convert to fraction form
    438.09/602.53 = 382.87/x
  3. Step 3: Cross multiply
    438.09x = 602.53 × 382.87
  4. Step 4: Simplify right side
    438.09x = 230,690.66
  5. Step 5: Solve for x
    x = 230,690.66/438.09
  6. Step 6: Final answer
    x = 526.58

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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.