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Finding the Fourth Proportional to 1,324.54, 1,827.84 and 765.01

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Solution

The fourth proportional to 1,324.54, 1,827.84 and 765.01 is: 1,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.54 : 1,827.84 = 765.01 : x
  2. Step 2: Convert to fraction form
    1,324.54/1,827.84 = 765.01/x
  3. Step 3: Cross multiply
    1,324.54x = 1,827.84 × 765.01
  4. Step 4: Simplify right side
    1,324.54x = 1,398,315.88
  5. Step 5: Solve for x
    x = 1,398,315.88/1,324.54
  6. Step 6: Final answer
    x = 1,055.70

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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.