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Finding the Fourth Proportional to 1,633.14, 2,450.10 and 478.89

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Solution

The fourth proportional to 1,633.14, 2,450.10 and 478.89 is: 718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.14 : 2,450.10 = 478.89 : x
  2. Step 2: Convert to fraction form
    1,633.14/2,450.10 = 478.89/x
  3. Step 3: Cross multiply
    1,633.14x = 2,450.10 × 478.89
  4. Step 4: Simplify right side
    1,633.14x = 1,173,328.39
  5. Step 5: Solve for x
    x = 1,173,328.39/1,633.14
  6. Step 6: Final answer
    x = 718.45

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