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Finding the Fourth Proportional to 920.50, 1,268.76 and 733.12

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Solution

The fourth proportional to 920.50, 1,268.76 and 733.12 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,268.76 = 733.12 : x
  2. Step 2: Convert to fraction form
    920.50/1,268.76 = 733.12/x
  3. Step 3: Cross multiply
    920.50x = 1,268.76 × 733.12
  4. Step 4: Simplify right side
    920.50x = 930,153.33
  5. Step 5: Solve for x
    x = 930,153.33/920.50
  6. Step 6: Final answer
    x = 1,010.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.