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Finding the Fourth Proportional to 920, 1,268.58 and 588.44

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Solution

The fourth proportional to 920, 1,268.58 and 588.44 is: 811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    920 : 1,268.58 = 588.44 : x
  2. Step 2: Convert to fraction form
    920/1,268.58 = 588.44/x
  3. Step 3: Cross multiply
    920x = 1,268.58 × 588.44
  4. Step 4: Simplify right side
    920x = 746,483.22
  5. Step 5: Solve for x
    x = 746,483.22/920
  6. Step 6: Final answer
    x = 811.39

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Similar ratio
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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.