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Finding the Fourth Proportional to 1,007.67, 1,511.72 and 314.32

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Solution

The fourth proportional to 1,007.67, 1,511.72 and 314.32 is: 471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.67 : 1,511.72 = 314.32 : x
  2. Step 2: Convert to fraction form
    1,007.67/1,511.72 = 314.32/x
  3. Step 3: Cross multiply
    1,007.67x = 1,511.72 × 314.32
  4. Step 4: Simplify right side
    1,007.67x = 475,163.83
  5. Step 5: Solve for x
    x = 475,163.83/1,007.67
  6. Step 6: Final answer
    x = 471.55

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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.