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Finding the Fourth Proportional to 1,051.69, 1,577.17 and 311.08

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Solution

The fourth proportional to 1,051.69, 1,577.17 and 311.08 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.69 : 1,577.17 = 311.08 : x
  2. Step 2: Convert to fraction form
    1,051.69/1,577.17 = 311.08/x
  3. Step 3: Cross multiply
    1,051.69x = 1,577.17 × 311.08
  4. Step 4: Simplify right side
    1,051.69x = 490,626.04
  5. Step 5: Solve for x
    x = 490,626.04/1,051.69
  6. Step 6: Final answer
    x = 466.51

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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.