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Finding the Fourth Proportional to 920.25, 1,267.43 and 855.68

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Solution

The fourth proportional to 920.25, 1,267.43 and 855.68 is: 1,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.25 : 1,267.43 = 855.68 : x
  2. Step 2: Convert to fraction form
    920.25/1,267.43 = 855.68/x
  3. Step 3: Cross multiply
    920.25x = 1,267.43 × 855.68
  4. Step 4: Simplify right side
    920.25x = 1,084,503.89
  5. Step 5: Solve for x
    x = 1,084,503.89/920.25
  6. Step 6: Final answer
    x = 1,178.49

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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.