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Finding the Fourth Proportional to 1,051.23, 1,576.44 and 310.69

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Solution

The fourth proportional to 1,051.23, 1,576.44 and 310.69 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.23 : 1,576.44 = 310.69 : x
  2. Step 2: Convert to fraction form
    1,051.23/1,576.44 = 310.69/x
  3. Step 3: Cross multiply
    1,051.23x = 1,576.44 × 310.69
  4. Step 4: Simplify right side
    1,051.23x = 489,784.14
  5. Step 5: Solve for x
    x = 489,784.14/1,051.23
  6. Step 6: Final answer
    x = 465.92

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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.