Home / 1,007.41-1,511.45-314.23

Finding the Fourth Proportional to 1,007.41, 1,511.45 and 314.23

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Solution

The fourth proportional to 1,007.41, 1,511.45 and 314.23 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.41 : 1,511.45 = 314.23 : x
  2. Step 2: Convert to fraction form
    1,007.41/1,511.45 = 314.23/x
  3. Step 3: Cross multiply
    1,007.41x = 1,511.45 × 314.23
  4. Step 4: Simplify right side
    1,007.41x = 474,942.93
  5. Step 5: Solve for x
    x = 474,942.93/1,007.41
  6. Step 6: Final answer
    x = 471.45

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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.