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Finding the Fourth Proportional to 1,160.00, 1,739.82 and 380.00

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Solution

The fourth proportional to 1,160.00, 1,739.82 and 380.00 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.00 : 1,739.82 = 380.00 : x
  2. Step 2: Convert to fraction form
    1,160.00/1,739.82 = 380.00/x
  3. Step 3: Cross multiply
    1,160.00x = 1,739.82 × 380.00
  4. Step 4: Simplify right side
    1,160.00x = 661,135.95
  5. Step 5: Solve for x
    x = 661,135.95/1,160.00
  6. Step 6: Final answer
    x = 569.94

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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.