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Finding the Fourth Proportional to 1,051.46, 1,577.39 and 311.08

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Solution

The fourth proportional to 1,051.46, 1,577.39 and 311.08 is: 466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.46 : 1,577.39 = 311.08 : x
  2. Step 2: Convert to fraction form
    1,051.46/1,577.39 = 311.08/x
  3. Step 3: Cross multiply
    1,051.46x = 1,577.39 × 311.08
  4. Step 4: Simplify right side
    1,051.46x = 490,697.81
  5. Step 5: Solve for x
    x = 490,697.81/1,051.46
  6. Step 6: Final answer
    x = 466.68

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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.