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Finding the Fourth Proportional to 1,048.14, 1,572.21 and 268.11

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Solution

The fourth proportional to 1,048.14, 1,572.21 and 268.11 is: 402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,572.21 = 268.11 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,572.21 = 268.11/x
  3. Step 3: Cross multiply
    1,048.14x = 1,572.21 × 268.11
  4. Step 4: Simplify right side
    1,048.14x = 421,523.88
  5. Step 5: Solve for x
    x = 421,523.88/1,048.14
  6. Step 6: Final answer
    x = 402.17

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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.