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Finding the Fourth Proportional to 1,324.41, 1,827.57 and 764.79

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Solution

The fourth proportional to 1,324.41, 1,827.57 and 764.79 is: 1,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.41 : 1,827.57 = 764.79 : x
  2. Step 2: Convert to fraction form
    1,324.41/1,827.57 = 764.79/x
  3. Step 3: Cross multiply
    1,324.41x = 1,827.57 × 764.79
  4. Step 4: Simplify right side
    1,324.41x = 1,397,707.26
  5. Step 5: Solve for x
    x = 1,397,707.26/1,324.41
  6. Step 6: Final answer
    x = 1,055.34

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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.