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Finding the Fourth Proportional to 1,356.54, 2,032.12 and 771.69

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Solution

The fourth proportional to 1,356.54, 2,032.12 and 771.69 is: 1,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.54 : 2,032.12 = 771.69 : x
  2. Step 2: Convert to fraction form
    1,356.54/2,032.12 = 771.69/x
  3. Step 3: Cross multiply
    1,356.54x = 2,032.12 × 771.69
  4. Step 4: Simplify right side
    1,356.54x = 1,568,156.20
  5. Step 5: Solve for x
    x = 1,568,156.20/1,356.54
  6. Step 6: Final answer
    x = 1,156.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.