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Finding the Fourth Proportional to 1,010.75, 1,515.18 and 920.57

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Solution

The fourth proportional to 1,010.75, 1,515.18 and 920.57 is: 1,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.75 : 1,515.18 = 920.57 : x
  2. Step 2: Convert to fraction form
    1,010.75/1,515.18 = 920.57/x
  3. Step 3: Cross multiply
    1,010.75x = 1,515.18 × 920.57
  4. Step 4: Simplify right side
    1,010.75x = 1,394,829.25
  5. Step 5: Solve for x
    x = 1,394,829.25/1,010.75
  6. Step 6: Final answer
    x = 1,379.99

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1.5x scale

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.