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Finding the Fourth Proportional to 1,324.25, 1,827.55 and 764.89

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Solution

The fourth proportional to 1,324.25, 1,827.55 and 764.89 is: 1,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.25 : 1,827.55 = 764.89 : x
  2. Step 2: Convert to fraction form
    1,324.25/1,827.55 = 764.89/x
  3. Step 3: Cross multiply
    1,324.25x = 1,827.55 × 764.89
  4. Step 4: Simplify right side
    1,324.25x = 1,397,874.72
  5. Step 5: Solve for x
    x = 1,397,874.72/1,324.25
  6. Step 6: Final answer
    x = 1,055.60

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Double scale
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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.