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Finding the Fourth Proportional to 1,006.41, 1,515.19 and 920.31

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Solution

The fourth proportional to 1,006.41, 1,515.19 and 920.31 is: 1,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 1,515.19 = 920.31 : x
  2. Step 2: Convert to fraction form
    1,006.41/1,515.19 = 920.31/x
  3. Step 3: Cross multiply
    1,006.41x = 1,515.19 × 920.31
  4. Step 4: Simplify right side
    1,006.41x = 1,394,444.51
  5. Step 5: Solve for x
    x = 1,394,444.51/1,006.41
  6. Step 6: Final answer
    x = 1,385.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.