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Finding the Fourth Proportional to 1,051.46, 1,577.24 and 321.04

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Solution

The fourth proportional to 1,051.46, 1,577.24 and 321.04 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.46 : 1,577.24 = 321.04 : x
  2. Step 2: Convert to fraction form
    1,051.46/1,577.24 = 321.04/x
  3. Step 3: Cross multiply
    1,051.46x = 1,577.24 × 321.04
  4. Step 4: Simplify right side
    1,051.46x = 506,358.70
  5. Step 5: Solve for x
    x = 506,358.70/1,051.46
  6. Step 6: Final answer
    x = 481.58

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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.