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Finding the Fourth Proportional to 599.84, 900.28 and 382.72

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Solution

The fourth proportional to 599.84, 900.28 and 382.72 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 900.28 = 382.72 : x
  2. Step 2: Convert to fraction form
    599.84/900.28 = 382.72/x
  3. Step 3: Cross multiply
    599.84x = 900.28 × 382.72
  4. Step 4: Simplify right side
    599.84x = 344,555.16
  5. Step 5: Solve for x
    x = 344,555.16/599.84
  6. Step 6: Final answer
    x = 574.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.